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  Subjects -> COMPUTER SCIENCE (Total: 1977 journals)
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COMPUTER SCIENCE (1150 journals)                  1 2 3 4 5 6 | Last

Showing 1 - 200 of 872 Journals sorted alphabetically
3D Printing and Additive Manufacturing     Full-text available via subscription   (Followers: 11)
Abakós     Open Access   (Followers: 3)
Academy of Information and Management Sciences Journal     Full-text available via subscription   (Followers: 67)
ACM Computing Surveys     Hybrid Journal   (Followers: 23)
ACM Journal on Computing and Cultural Heritage     Hybrid Journal   (Followers: 8)
ACM Journal on Emerging Technologies in Computing Systems     Hybrid Journal   (Followers: 13)
ACM Transactions on Accessible Computing (TACCESS)     Hybrid Journal   (Followers: 4)
ACM Transactions on Algorithms (TALG)     Hybrid Journal   (Followers: 16)
ACM Transactions on Applied Perception (TAP)     Hybrid Journal   (Followers: 6)
ACM Transactions on Architecture and Code Optimization (TACO)     Hybrid Journal   (Followers: 9)
ACM Transactions on Autonomous and Adaptive Systems (TAAS)     Hybrid Journal   (Followers: 7)
ACM Transactions on Computation Theory (TOCT)     Hybrid Journal   (Followers: 11)
ACM Transactions on Computational Logic (TOCL)     Hybrid Journal   (Followers: 4)
ACM Transactions on Computer Systems (TOCS)     Hybrid Journal   (Followers: 18)
ACM Transactions on Computer-Human Interaction     Hybrid Journal   (Followers: 12)
ACM Transactions on Computing Education (TOCE)     Hybrid Journal   (Followers: 3)
ACM Transactions on Design Automation of Electronic Systems (TODAES)     Hybrid Journal   (Followers: 1)
ACM Transactions on Economics and Computation     Hybrid Journal  
ACM Transactions on Embedded Computing Systems (TECS)     Hybrid Journal   (Followers: 4)
ACM Transactions on Information Systems (TOIS)     Hybrid Journal   (Followers: 20)
ACM Transactions on Intelligent Systems and Technology (TIST)     Hybrid Journal   (Followers: 9)
ACM Transactions on Interactive Intelligent Systems (TiiS)     Hybrid Journal   (Followers: 4)
ACM Transactions on Multimedia Computing, Communications, and Applications (TOMCCAP)     Hybrid Journal   (Followers: 10)
ACM Transactions on Reconfigurable Technology and Systems (TRETS)     Hybrid Journal   (Followers: 7)
ACM Transactions on Sensor Networks (TOSN)     Hybrid Journal   (Followers: 8)
ACM Transactions on Speech and Language Processing (TSLP)     Hybrid Journal   (Followers: 11)
ACM Transactions on Storage     Hybrid Journal  
ACS Applied Materials & Interfaces     Full-text available via subscription   (Followers: 21)
Acta Automatica Sinica     Full-text available via subscription   (Followers: 3)
Acta Universitatis Cibiniensis. Technical Series     Open Access  
Ad Hoc Networks     Hybrid Journal   (Followers: 11)
Adaptive Behavior     Hybrid Journal   (Followers: 11)
Advanced Engineering Materials     Hybrid Journal   (Followers: 25)
Advanced Science Letters     Full-text available via subscription   (Followers: 5)
Advances in Adaptive Data Analysis     Hybrid Journal   (Followers: 8)
Advances in Artificial Intelligence     Open Access   (Followers: 15)
Advances in Artificial Neural Systems     Open Access   (Followers: 4)
Advances in Calculus of Variations     Hybrid Journal   (Followers: 2)
Advances in Catalysis     Full-text available via subscription   (Followers: 5)
Advances in Computational Mathematics     Hybrid Journal   (Followers: 15)
Advances in Computer Science : an International Journal     Open Access   (Followers: 13)
Advances in Computing     Open Access   (Followers: 3)
Advances in Data Analysis and Classification     Hybrid Journal   (Followers: 53)
Advances in Engineering Software     Hybrid Journal   (Followers: 25)
Advances in Geosciences (ADGEO)     Open Access   (Followers: 10)
Advances in Human Factors/Ergonomics     Full-text available via subscription   (Followers: 24)
Advances in Human-Computer Interaction     Open Access   (Followers: 19)
Advances in Materials Sciences     Open Access   (Followers: 16)
Advances in Operations Research     Open Access   (Followers: 11)
Advances in Parallel Computing     Full-text available via subscription   (Followers: 7)
Advances in Porous Media     Full-text available via subscription   (Followers: 4)
Advances in Remote Sensing     Open Access   (Followers: 37)
Advances in Science and Research (ASR)     Open Access   (Followers: 6)
Advances in Technology Innovation     Open Access  
AEU - International Journal of Electronics and Communications     Hybrid Journal   (Followers: 8)
African Journal of Information and Communication     Open Access   (Followers: 6)
African Journal of Mathematics and Computer Science Research     Open Access   (Followers: 4)
Air, Soil & Water Research     Open Access   (Followers: 7)
AIS Transactions on Human-Computer Interaction     Open Access   (Followers: 6)
Algebras and Representation Theory     Hybrid Journal   (Followers: 1)
Algorithms     Open Access   (Followers: 9)
American Journal of Computational and Applied Mathematics     Open Access   (Followers: 3)
American Journal of Computational Mathematics     Open Access   (Followers: 4)
American Journal of Information Systems     Open Access   (Followers: 6)
American Journal of Sensor Technology     Open Access   (Followers: 2)
Anais da Academia Brasileira de Ciências     Open Access   (Followers: 2)
Analog Integrated Circuits and Signal Processing     Hybrid Journal   (Followers: 5)
Analysis in Theory and Applications     Hybrid Journal  
Animation Practice, Process & Production     Hybrid Journal   (Followers: 5)
Annals of Combinatorics     Hybrid Journal   (Followers: 3)
Annals of Data Science     Hybrid Journal   (Followers: 8)
Annals of Mathematics and Artificial Intelligence     Hybrid Journal   (Followers: 6)
Annals of Pure and Applied Logic     Open Access   (Followers: 2)
Annals of Software Engineering     Hybrid Journal   (Followers: 12)
Annual Reviews in Control     Hybrid Journal   (Followers: 6)
Anuario Americanista Europeo     Open Access  
Applicable Algebra in Engineering, Communication and Computing     Hybrid Journal   (Followers: 2)
Applied and Computational Harmonic Analysis     Full-text available via subscription   (Followers: 2)
Applied Artificial Intelligence: An International Journal     Hybrid Journal   (Followers: 14)
Applied Categorical Structures     Hybrid Journal   (Followers: 2)
Applied Clinical Informatics     Hybrid Journal   (Followers: 1)
Applied Computational Intelligence and Soft Computing     Open Access   (Followers: 12)
Applied Computer Systems     Open Access   (Followers: 1)
Applied Informatics     Open Access  
Applied Mathematics and Computation     Hybrid Journal   (Followers: 31)
Applied Medical Informatics     Open Access   (Followers: 9)
Applied Numerical Mathematics     Hybrid Journal   (Followers: 5)
Applied Soft Computing     Hybrid Journal   (Followers: 16)
Applied Spatial Analysis and Policy     Hybrid Journal   (Followers: 4)
Architectural Theory Review     Hybrid Journal   (Followers: 3)
Archive of Applied Mechanics     Hybrid Journal   (Followers: 4)
Archive of Numerical Software     Open Access  
Archives and Museum Informatics     Hybrid Journal   (Followers: 123)
Archives of Computational Methods in Engineering     Hybrid Journal   (Followers: 4)
Artifact     Hybrid Journal   (Followers: 2)
Artificial Life     Hybrid Journal   (Followers: 5)
Asia Pacific Journal on Computational Engineering     Open Access  
Asia-Pacific Journal of Information Technology and Multimedia     Open Access   (Followers: 1)
Asian Journal of Computer Science and Information Technology     Open Access  
Asian Journal of Control     Hybrid Journal  
Assembly Automation     Hybrid Journal   (Followers: 2)
at - Automatisierungstechnik     Hybrid Journal   (Followers: 1)
Australian Educational Computing     Open Access  
Automatic Control and Computer Sciences     Hybrid Journal   (Followers: 3)
Automatic Documentation and Mathematical Linguistics     Hybrid Journal   (Followers: 5)
Automatica     Hybrid Journal   (Followers: 8)
Automation in Construction     Hybrid Journal   (Followers: 6)
Autonomous Mental Development, IEEE Transactions on     Hybrid Journal   (Followers: 8)
Basin Research     Hybrid Journal   (Followers: 3)
Behaviour & Information Technology     Hybrid Journal   (Followers: 52)
Bioinformatics     Hybrid Journal   (Followers: 236)
Biomedical Engineering     Hybrid Journal   (Followers: 16)
Biomedical Engineering and Computational Biology     Open Access   (Followers: 13)
Biomedical Engineering, IEEE Reviews in     Full-text available via subscription   (Followers: 17)
Biomedical Engineering, IEEE Transactions on     Hybrid Journal   (Followers: 32)
Briefings in Bioinformatics     Hybrid Journal   (Followers: 45)
British Journal of Educational Technology     Hybrid Journal   (Followers: 122)
Broadcasting, IEEE Transactions on     Hybrid Journal   (Followers: 10)
c't Magazin fuer Computertechnik     Full-text available via subscription   (Followers: 1)
CALCOLO     Hybrid Journal  
Calphad     Hybrid Journal  
Canadian Journal of Electrical and Computer Engineering     Full-text available via subscription   (Followers: 13)
Catalysis in Industry     Hybrid Journal   (Followers: 1)
CEAS Space Journal     Hybrid Journal  
Cell Communication and Signaling     Open Access   (Followers: 1)
Central European Journal of Computer Science     Hybrid Journal   (Followers: 5)
Chaos, Solitons & Fractals     Hybrid Journal   (Followers: 3)
Chemometrics and Intelligent Laboratory Systems     Hybrid Journal   (Followers: 15)
ChemSusChem     Hybrid Journal   (Followers: 7)
China Communications     Full-text available via subscription   (Followers: 7)
Chinese Journal of Catalysis     Full-text available via subscription   (Followers: 2)
CIN Computers Informatics Nursing     Full-text available via subscription   (Followers: 12)
Circuits and Systems     Open Access   (Followers: 14)
Clean Air Journal     Full-text available via subscription   (Followers: 2)
CLEI Electronic Journal     Open Access  
Clin-Alert     Hybrid Journal   (Followers: 1)
Cluster Computing     Hybrid Journal   (Followers: 1)
Cognitive Computation     Hybrid Journal   (Followers: 4)
COMBINATORICA     Hybrid Journal  
Combustion Theory and Modelling     Hybrid Journal   (Followers: 13)
Communication Methods and Measures     Hybrid Journal   (Followers: 11)
Communication Theory     Hybrid Journal   (Followers: 19)
Communications Engineer     Hybrid Journal   (Followers: 1)
Communications in Algebra     Hybrid Journal   (Followers: 3)
Communications in Partial Differential Equations     Hybrid Journal   (Followers: 3)
Communications of the ACM     Full-text available via subscription   (Followers: 51)
Communications of the Association for Information Systems     Open Access   (Followers: 18)
COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering     Hybrid Journal   (Followers: 3)
Complex & Intelligent Systems     Open Access  
Complex Adaptive Systems Modeling     Open Access  
Complex Analysis and Operator Theory     Hybrid Journal   (Followers: 2)
Complexity     Hybrid Journal   (Followers: 6)
Complexus     Full-text available via subscription  
Composite Materials Series     Full-text available via subscription   (Followers: 9)
Computación y Sistemas     Open Access  
Computation     Open Access  
Computational and Applied Mathematics     Hybrid Journal   (Followers: 2)
Computational and Mathematical Methods in Medicine     Open Access   (Followers: 2)
Computational and Mathematical Organization Theory     Hybrid Journal   (Followers: 2)
Computational and Structural Biotechnology Journal     Open Access   (Followers: 2)
Computational and Theoretical Chemistry     Hybrid Journal   (Followers: 9)
Computational Astrophysics and Cosmology     Open Access   (Followers: 1)
Computational Biology and Chemistry     Hybrid Journal   (Followers: 12)
Computational Chemistry     Open Access   (Followers: 2)
Computational Cognitive Science     Open Access   (Followers: 1)
Computational Complexity     Hybrid Journal   (Followers: 4)
Computational Condensed Matter     Open Access  
Computational Ecology and Software     Open Access   (Followers: 8)
Computational Economics     Hybrid Journal   (Followers: 9)
Computational Geosciences     Hybrid Journal   (Followers: 13)
Computational Linguistics     Open Access   (Followers: 23)
Computational Management Science     Hybrid Journal  
Computational Mathematics and Modeling     Hybrid Journal   (Followers: 8)
Computational Mechanics     Hybrid Journal   (Followers: 4)
Computational Methods and Function Theory     Hybrid Journal  
Computational Molecular Bioscience     Open Access   (Followers: 2)
Computational Optimization and Applications     Hybrid Journal   (Followers: 7)
Computational Particle Mechanics     Hybrid Journal   (Followers: 1)
Computational Research     Open Access   (Followers: 1)
Computational Science and Discovery     Full-text available via subscription   (Followers: 2)
Computational Science and Techniques     Open Access  
Computational Statistics     Hybrid Journal   (Followers: 13)
Computational Statistics & Data Analysis     Hybrid Journal   (Followers: 28)
Computer     Full-text available via subscription   (Followers: 81)
Computer Aided Surgery     Hybrid Journal   (Followers: 3)
Computer Applications in Engineering Education     Hybrid Journal   (Followers: 6)
Computer Communications     Hybrid Journal   (Followers: 10)
Computer Engineering and Applications Journal     Open Access   (Followers: 5)
Computer Journal     Hybrid Journal   (Followers: 7)
Computer Methods in Applied Mechanics and Engineering     Hybrid Journal   (Followers: 22)
Computer Methods in Biomechanics and Biomedical Engineering     Hybrid Journal   (Followers: 10)
Computer Methods in the Geosciences     Full-text available via subscription   (Followers: 1)
Computer Music Journal     Hybrid Journal   (Followers: 13)
Computer Physics Communications     Hybrid Journal   (Followers: 6)
Computer Science - Research and Development     Hybrid Journal   (Followers: 7)
Computer Science and Engineering     Open Access   (Followers: 17)
Computer Science and Information Technology     Open Access   (Followers: 11)
Computer Science Education     Hybrid Journal   (Followers: 12)
Computer Science Journal     Open Access   (Followers: 20)
Computer Science Master Research     Open Access   (Followers: 10)

        1 2 3 4 5 6 | Last

Journal Cover Applied Mathematics and Computation
  [SJR: 1.008]   [H-I: 100]   [31 followers]  Follow
    
   Hybrid Journal Hybrid journal (It can contain Open Access articles)
   ISSN (Print) 0096-3003
   Published by Elsevier Homepage  [3034 journals]
  • A family of non-uniform subdivision schemes with variable parameters for
           curve design
    • Authors: Mei-e Fang; Byeongseon Jeong; Jungho Yoon
      Pages: 1 - 11
      Abstract: Publication date: 15 November 2017
      Source:Applied Mathematics and Computation, Volume 313
      Author(s): Mei-e Fang, Byeongseon Jeong, Jungho Yoon
      In this paper, we present non-uniform subdivision schemes with variable parameter sequences. A locally different tension parameter is set at each edge of the initial control polygon to control locally the shape of the resulting curve such that the scheme becomes non-uniform. Due to the variable parameters, the scheme can reproduce locally different analytic curves such as conics, Lissajous, trigonometric and catenary curves. Hence blending curves including such analytic components can be successfully generated. We discuss the convergence and smoothness of the proposed non-uniform schemes and present some numerical results to demonstrate their advantages in geometric modeling. Furthermore, as an application, we propose a chamfering algorithm which can be used in designing automobile and mechanical products.

      PubDate: 2017-06-02T07:13:23Z
      DOI: 10.1016/j.amc.2017.05.063
      Issue No: Vol. 313 (2017)
       
  • High order Runge–Kutta methods for impulsive delay differential
           equations
    • Authors: Gui-Lai Zhang
      Pages: 12 - 23
      Abstract: Publication date: 15 November 2017
      Source:Applied Mathematics and Computation, Volume 313
      Author(s): Gui-Lai Zhang
      The purpose of this paper is to obtain high order Runge–Kutta methods for nonlinear impulsive delay differential equations (IDDEs). In order to achieve the purpose, continuity and smoothness of the exact solutions of IDDEs are analyzed. And then the discontinuous points and non-smooth points are chosen as a part of the nodes of the Runge–Kutta methods. Furthermore, it is proved that the pth order Runge–Kutta method for IDDEs is also convergent of order p. And some simple numerical examples are given to demonstrate the theoretical results.

      PubDate: 2017-06-11T15:18:24Z
      DOI: 10.1016/j.amc.2017.05.054
      Issue No: Vol. 313 (2017)
       
  • Conserved quantities for Hamiltonian systems on time scales
    • Authors: Chuan-Jing Song; Yi Zhang
      Pages: 24 - 36
      Abstract: Publication date: 15 November 2017
      Source:Applied Mathematics and Computation, Volume 313
      Author(s): Chuan-Jing Song, Yi Zhang
      Conserved quantities for Hamiltonian systems on time scales with nabla derivatives and delta derivatives are presented. First, Hamilton principle on time scales with nabla derivatives is established and Hamilton canonical equation with nabla derivatives is obtained. Second, Noether identity and Noether theorem for Hamiltonian systems with nabla derivatives are achieved. Third, Hamilton canonical equation with delta derivatives, Noether identity and Noether theorem for Hamiltonian systems with delta derivatives are gotten through duality principle on the basis of the corresponding results with nabla derivatives. Fourth, some special cases of Noether identity and Noether theorem are given. And finally, two examples are devoted to illustrate the methods and results.

      PubDate: 2017-06-11T15:18:24Z
      DOI: 10.1016/j.amc.2017.05.074
      Issue No: Vol. 313 (2017)
       
  • Exponential and fixed-time synchronization of Cohen–Grossberg neural
           networks with time-varying delays and reaction-diffusion terms
    • Authors: Ruoxia Li; Jinde Cao; Ahmad Alsaedi; Fuad Alsaadi
      Pages: 37 - 51
      Abstract: Publication date: 15 November 2017
      Source:Applied Mathematics and Computation, Volume 313
      Author(s): Ruoxia Li, Jinde Cao, Ahmad Alsaedi, Fuad Alsaadi
      This paper is devoted to the global exponential and fixed-time synchronization of delayed reaction-diffusion Cohen–Grossberg neural networks. Adaptive controllers are designed such that the addressed system can realize global exponential synchronization goal under the framework of inequality techniques, Lyapunov method as well as some suitable assumptions. Furthermore, as corollaries, the corresponding conclusion is provided to ensure the delayed Cohen–Grossberg neural networks without reaction-diffusion term can reach fixed-time synchronization goal. In addition, the settling time of fixed-time synchronization can be adjusted to desired values regardless of initial conditions, which is more reasonable. Finally, two numerical examples and its simulations are given to show the effectiveness of the obtained results.

      PubDate: 2017-06-11T15:18:24Z
      DOI: 10.1016/j.amc.2017.05.073
      Issue No: Vol. 313 (2017)
       
  • An asymptotic expansion for a class of biorthogonal polynomials with
           respect to a measure on the unit circle
    • Authors: J. Borrego-Morell; F.R. Rafaeli
      Pages: 52 - 73
      Abstract: Publication date: 15 November 2017
      Source:Applied Mathematics and Computation, Volume 313
      Author(s): J. Borrego-Morell, F.R. Rafaeli
      We consider the system of biorthogonal polynomials {Pn, Qn } n ≥ 0 with respect to a complex valued measure supported on the unit circle and give a uniform compound asymptotic expansion formula consisting of the sum of two inverse factorial series, giving the explicit expression of the terms and including error bounds. As a consequence we prove that the set of accumulation points of the zeros these polynomials is included in the unit circle. Some numerical experiments are included.

      PubDate: 2017-06-11T15:18:24Z
      DOI: 10.1016/j.amc.2017.05.070
      Issue No: Vol. 313 (2017)
       
  • Selective harvesting of two competing fish species in the presence of
           toxicity with time delay
    • Authors: D. Pal; G.P. Samanta; G.S. Mahapatra
      Pages: 74 - 93
      Abstract: Publication date: 15 November 2017
      Source:Applied Mathematics and Computation, Volume 313
      Author(s): D. Pal, G.P. Samanta, G.S. Mahapatra
      In this paper, we have considered a two competing fish species with the delay due to gestation, each of which obeys the law of logistic growth and releases a substance toxic to the other. We also consider the selective harvesting of fishes above a certain age or size by incorporating a time delay in the harvesting term. The dynamical behavior of the exploited system is examined in the presence and absence of delay. Boundedness, local and global stabilities are addressed. The possibility of the existence of a dynamic equilibrium and the optimal harvesting policy is studied in the absence of delay. It is shown that the time delay can cause a stable equilibrium to become unstable and even a switching of stabilities. Extensive numerical simulations are performed using analytical results for a hypothetical set of parameter values.

      PubDate: 2017-06-11T15:18:24Z
      DOI: 10.1016/j.amc.2017.05.069
      Issue No: Vol. 313 (2017)
       
  • Parameter Switching Synchronization
    • Authors: Marius-F. Danca; Nikolay Kuznetsov
      Pages: 94 - 102
      Abstract: Publication date: 15 November 2017
      Source:Applied Mathematics and Computation, Volume 313
      Author(s): Marius-F. Danca, Nikolay Kuznetsov
      In this paper we show how the Parameter Switching algorithm, utilized initially to approximate attractors of a general class of nonlinear dynamical systems, can be utilized also as a synchronization-induced method. Two illustrative examples are considered: the Lorenz system and the Rabinovich–Fabrikant system.

      PubDate: 2017-06-11T15:18:24Z
      DOI: 10.1016/j.amc.2017.05.075
      Issue No: Vol. 313 (2017)
       
  • Optimal investment–consumption strategy with liability and regime
           switching model under Value-at-Risk constraint
    • Authors: Fengxia Hu; Rongming Wang
      Pages: 103 - 118
      Abstract: Publication date: 15 November 2017
      Source:Applied Mathematics and Computation, Volume 313
      Author(s): Fengxia Hu, Rongming Wang
      This paper considers the optimal investment–consumption problem with liability subject to a maximum Value-at-Risk (denoted by MVaR) constraint. The model also contains regime-switching market modes, whose states are interpreted as the states of the economy. In each state of economy state, we constrain a VaR value for the portfolio in a short time duration, and MVaR is defined as the maximum value of the VaRs in all economy states. We suppose that both the price dynamics of the risky asset and the liability value process are governed by a Markov-modulated geometric Brownian motion. With the objective of maximizing the discounted utility of consumption, we obtain a system of HJB equations corresponding to the economy states by using the dynamic programming principle. Then, by adopting the techniques of Chen et al. (2010), we get explicit expressions of value functions. Moreover, with the help of Lagrange multiplier method, we derive the optimal investment and the optimal consumption. Finally, a numerical example is investigated, and the effects of many parameters on the optimal investment, on the optimal consumption and on VaR value are studied. Furthermore, we also explore how VaR value affects the optimal investment and the optimal consumption.

      PubDate: 2017-06-11T15:18:24Z
      DOI: 10.1016/j.amc.2017.04.034
      Issue No: Vol. 313 (2017)
       
  • The classification of f-coloring of graphs with large maximum degree
    • Authors: Jiansheng Cai; Guiying Yan; Xia Zhang
      Pages: 119 - 121
      Abstract: Publication date: 15 November 2017
      Source:Applied Mathematics and Computation, Volume 313
      Author(s): Jiansheng Cai, Guiying Yan, Xia Zhang
      Let G = ( V , E ) be a simple graph with vertex set V and edge set E. Define an integer-valued function f on V such that f(v) > 0 for every v ∈ V. An f-coloring of G is an edge-coloring of it such that each color class appears at every vertex v ∈ V(G) at most f(v) times. In this paper, we give a sufficient condition for a simple graph with large maximum degree to be of f-class 1.

      PubDate: 2017-06-11T15:18:24Z
      DOI: 10.1016/j.amc.2017.05.059
      Issue No: Vol. 313 (2017)
       
  • Epidemic waves of a spatial SIR model in combination with random dispersal
           and non-local dispersal
    • Authors: Chufen Wu; Yong Yang; Qianyi Zhao; Yanling Tian; Zhiting Xu
      Pages: 122 - 143
      Abstract: Publication date: 15 November 2017
      Source:Applied Mathematics and Computation, Volume 313
      Author(s): Chufen Wu, Yong Yang, Qianyi Zhao, Yanling Tian, Zhiting Xu
      In this paper, a spatial SIR model in combination with random dispersal and non-local dispersal is proposed. We establish the existence and non-existence of the traveling wave solutions connecting the disease-free equilibrium and the endemic equilibrium for the model. The main difficulties lie in the fact that the semiflow generated here does not admit the order-preserving property and the solutions lack of regularity. We use a proper iteration scheme to construct a pair of upper and lower solutions and then apply the Schauder’s fixed-point theorem, polar coordinates transform to study the threshold dynamics of the model. That is, we show that if the basic reproduction number of the model R 0 > 1 , there is a positive constant critical number c * such that for each c ≥ c *, the model admits a non-trivial and positive traveling wave with wave speed c; and if R 0 > 1 and 0 < c < c *, the model admits no non-trivial and non-negative traveling waves. In view of the numerical simulations, we see that the epidemic waves are not monotone and the non-local dispersal may cause them to oscillate more frequently.

      PubDate: 2017-06-11T15:18:24Z
      DOI: 10.1016/j.amc.2017.05.068
      Issue No: Vol. 313 (2017)
       
  • A fourth-order AVF method for the numerical integration of sine-Gordon
           equation
    • Authors: Chaolong Jiang; Jianqiang Sun; Haochen Li; Yifan Wang
      Pages: 144 - 158
      Abstract: Publication date: 15 November 2017
      Source:Applied Mathematics and Computation, Volume 313
      Author(s): Chaolong Jiang, Jianqiang Sun, Haochen Li, Yifan Wang
      In this paper, a new scheme, which has energy-preserving property, is proposed for solving the sine-Gordon equation with periodic boundary conditions. It is obtained by the Fourier pseudo-spectral method and the fourth order average vector field method. In numerical experiments, the new high order energy-preserving scheme is compared with a number of existing numerical schemes for the one dimensional sine-Gordon equation. The new high order energy-preserving scheme for the two dimensional sine-Gordon equation is also investigated. Numerical results are addressed to further illustrate the conservation of energy and the evolutional behaviors of solitons.

      PubDate: 2017-06-11T15:18:24Z
      DOI: 10.1016/j.amc.2017.05.055
      Issue No: Vol. 313 (2017)
       
  • Dynamic analysis of fractional-order singular Holling type-II
           predator–prey system
    • Authors: Komeil Nosrati; Masoud Shafiee
      Pages: 159 - 179
      Abstract: Publication date: 15 November 2017
      Source:Applied Mathematics and Computation, Volume 313
      Author(s): Komeil Nosrati, Masoud Shafiee
      In this paper, a fractional-order singular (FOS) predator–prey model with Holling type-II functional response has been introduced, and the mathematical behavior of the model from the aspect of local stability is investigated. Through the fractional calculus and economic theory, a new and more realistic predator–prey model has been extended, and the solvability condition is presented. Besides, numerical simulations are considered to illustrate the effectiveness of the numerical method and confirm the theoretical results to explore the impacts of fractional-order and economic interest on the presented system in biological context. It is found that the presence of fractional-order in the differential model can improve the stability of the solutions and enrich the dynamics of system. In addition, singular models exhibit more complicated dynamics rather than standard models, especially the bifurcation phenomena, which can reveal the instability mechanism of systems.

      PubDate: 2017-06-16T15:30:53Z
      DOI: 10.1016/j.amc.2017.05.067
      Issue No: Vol. 313 (2017)
       
  • Solving over-constrained systems of non-linear interval equations – And
           its robotic application
    • Authors: Julien Alexandre dit Sandretto; Milan Hladík
      Pages: 180 - 195
      Abstract: Publication date: 15 November 2017
      Source:Applied Mathematics and Computation, Volume 313
      Author(s): Julien Alexandre dit Sandretto, Milan Hladík
      This paper presents and describes in details an original method developed to solve over-constrained systems of non-linear interval equations that arise namely in parameter identification problems deriving from physical models and uncertain measurements. Our approach consists of computing an interval enclosure of the least square solution set and an inner box of tolerable solution set. This method is applied in a detailed example and some interesting results obtained for the calibration of a cable-driven robot are shown.

      PubDate: 2017-06-16T15:30:53Z
      DOI: 10.1016/j.amc.2017.05.077
      Issue No: Vol. 313 (2017)
       
  • Buckling of moderately thick arbitrarily shaped plates with intermediate
           point supports using a simple hp-cloud method
    • Authors: Nasrin Jafari; Mojtaba Azhari
      Pages: 196 - 208
      Abstract: Publication date: 15 November 2017
      Source:Applied Mathematics and Computation, Volume 313
      Author(s): Nasrin Jafari, Mojtaba Azhari
      This paper presents the simple hp-cloud meshless method for the stability analysis of moderately thick plates with various shapes subjected to uniaxial and biaxial in-plane compressive and pure shear loads. To allow the effect of transverse shear deformation on the critical buckling load of the plate, the Mindlin's plate theory is employed. Simple hp-cloud method is applied for constructing the cloud shape functions and for discretization of the domain. Shepard functions are also used for the partition of unity and complete polynomials are utilized for the enrichment functions part. The simple hp-cloud method has Kronecker delta property, so contrary to most of meshless methods the essential boundary conditions can be imposed directly. Constructing the stiffness and geometry matrices leads to an eigenvalue problem that should be solved to determine the critical buckling load of the plate. Numerical results are verified against the results reported elsewhere to illustrate the accuracy and effectiveness of the present method. To show the applications of simple hp-cloud method in the buckling analysis of moderately thick plates, local buckling coefficients of various shapes of plates, rectangular, skew, trapezoidal, triangular, circular, semi-circular, hexagonal and general shape with different boundary conditions are determined. Also, local buckling coefficients of plates with point supports and intermediate support are calculated.

      PubDate: 2017-06-16T15:30:53Z
      DOI: 10.1016/j.amc.2017.05.079
      Issue No: Vol. 313 (2017)
       
  • Pattern formation by super-diffusion in FitzHugh–Nagumo model
    • Authors: Naveed Iqbal; Ranchao Wu; Biao Liu
      Pages: 245 - 258
      Abstract: Publication date: 15 November 2017
      Source:Applied Mathematics and Computation, Volume 313
      Author(s): Naveed Iqbal, Ranchao Wu, Biao Liu
      The aim of this paper is to examine the Turing instability and pattern formation in the FitzHugh–Nagumo model with super-diffusion in two dimensional numerical simulation. We also studied the effects of the super-diffusive exponent on pattern formation concluding that with the presence of super-diffusion the stable homogenous steady state becomes unstable. By using the stability analysis of local equilibrium point, we procure the conditions which ensure that the Turing and Hopf bifurcations occur. For pattern selection, the weak nonlinear multi-scale analysis is used to derive the amplitude equations of the stationary patterns. We then apply amplitude equations and observe that this model has very rich dynamical behaviors, such as stripes, spots and hexagon patterns. The complexity of the dynamics in this system is theoretically discussed and graphically displayed in numerical simulation. The simulation helps us to show the effectiveness of theoretical analysis and patterns which appear numerically.

      PubDate: 2017-06-21T15:40:13Z
      DOI: 10.1016/j.amc.2017.05.072
      Issue No: Vol. 313 (2017)
       
  • Finite-time fault detection filter design for discrete-time interconnected
           systems with average dwell time
    • Authors: Jian Li; Chun-Yu Wu
      Pages: 259 - 270
      Abstract: Publication date: 15 November 2017
      Source:Applied Mathematics and Computation, Volume 313
      Author(s): Jian Li, Chun-Yu Wu
      In this paper, we present an approach to finite-time robust fault detection filter design for interconnected systems with disconnected interconnections among these subsystems. Taking various disconnected interconnections into account, a switched scheme is proposed to analysis these complex cases. By modeling these cases of disconnections into independent subsystems, a switching signal is introduced to specify which subsystem is activated. In the aid of the average dwell time method, sufficient conditions on existence of the desired filter are derived in term of linear matrices inequalities, which guarantee the augmented system is finite-time boundedness and achieve the H ∞ performance. A numerical example is used to illustrate the effectiveness of the proposed approach.

      PubDate: 2017-06-21T15:40:13Z
      DOI: 10.1016/j.amc.2017.05.071
      Issue No: Vol. 313 (2017)
       
  • Distributed adaptive fixed-time consensus tracking for second-order
           multi-agent systems using modified terminal sliding mode
    • Authors: Lin Zhao; Jinpeng Yu; Chong Lin; Haisheng Yu
      Pages: 23 - 35
      Abstract: Publication date: 1 November 2017
      Source:Applied Mathematics and Computation, Volume 312
      Author(s): Lin Zhao, Jinpeng Yu, Chong Lin, Haisheng Yu
      This paper investigates the fixed-time consensus tracking problems for second-order multi-agent systems with unknown external disturbances. Firstly, a fixed-time terminal sliding mode (FTTSM) is proposed, which can avoid the singularity problem. Then, two continuous distributed consensus tracking control laws with adaptive updating laws are designed respectively, in which the upper bounds of external disturbances are not required. It is proved that the two control laws can both guarantee the consensus tracking errors converge into the desired regions including the origin in fixed time. A simulation example is given to demonstrate the effectiveness of proposed methods.

      PubDate: 2017-06-02T07:13:23Z
      DOI: 10.1016/j.amc.2017.05.049
      Issue No: Vol. 312 (2017)
       
  • Fault-tolerant synchronization control for complex dynamical networks with
           semi-Markov jump topology
    • Authors: Dan Ye; Xiang Yang; Lei Su
      Pages: 36 - 48
      Abstract: Publication date: 1 November 2017
      Source:Applied Mathematics and Computation, Volume 312
      Author(s): Dan Ye, Xiang Yang, Lei Su
      This paper investigates the problem of fault-tolerant synchronization control for complex dynamical networks with semi-Markov jump topology. The main purpose is to design a fault-tolerant controller so as to make the resultant closed-loop system is stochastically synchronous in the presence of actuator failures. Some sufficient conditions to ensure the presence of the controller are obtained by constructing a mode-dependent Lyapunov–Krasovskii functional and employing some novel inequalities. Based on these conditions, a clear expression for the desired controller is given by using a simple matrix decoupling method. Finally, a simulation example is given to demonstrate the effectiveness of the proposed method.

      PubDate: 2017-06-02T07:13:23Z
      DOI: 10.1016/j.amc.2017.05.008
      Issue No: Vol. 312 (2017)
       
  • The windowed scalogram difference: A novel wavelet tool for comparing time
           series
    • Authors: V.J. Bolós; R. Benítez; R. Ferrer; R. Jammazi
      Pages: 49 - 65
      Abstract: Publication date: 1 November 2017
      Source:Applied Mathematics and Computation, Volume 312
      Author(s): V.J. Bolós, R. Benítez, R. Ferrer, R. Jammazi
      We introduce a new wavelet-based tool called windowed scalogram difference (WSD), which has been designed to compare time series. This tool allows quantifying if two time series follow a similar pattern over time, comparing their scalograms and determining if they give the same weight to the different scales. The WSD can be seen as an alternative to another tool widely used in wavelet analysis called wavelet squared coherence (WSC) and, in some cases, it detects features that the WSC is not able to identify. As an application, the WSD is used to examine the dynamics of the integration of government bond markets in the euro area since the inception of the euro as a European single currency in January 1999.

      PubDate: 2017-06-02T07:13:23Z
      DOI: 10.1016/j.amc.2017.05.046
      Issue No: Vol. 312 (2017)
       
  • Two algorithms for computing the matrix cosine function
    • Authors: Jorge Sastre; Javier Ibáñez; Pedro Alonso; Jesús Peinado; Emilio Defez
      Pages: 66 - 77
      Abstract: Publication date: 1 November 2017
      Source:Applied Mathematics and Computation, Volume 312
      Author(s): Jorge Sastre, Javier Ibáñez, Pedro Alonso, Jesús Peinado, Emilio Defez
      The computation of matrix trigonometric functions has received remarkable attention in the last decades due to its usefulness in the solution of systems of second order linear differential equations. Several state-of-the-art algorithms have been provided recently for computing these matrix functions. In this work, we present two efficient algorithms based on Taylor series with forward and backward error analysis for computing the matrix cosine. A MATLAB implementation of the algorithms is compared to state-of-the-art algorithms, with excellent performance in both accuracy and cost.

      PubDate: 2017-06-02T07:13:23Z
      DOI: 10.1016/j.amc.2017.05.019
      Issue No: Vol. 312 (2017)
       
  • Synchronization of delayed neural networks with hybrid coupling via
           partial mixed pinning impulsive control
    • Authors: Chengbo Yi; Jianwen Feng; Jingyi Wang; Chen Xu; Yi Zhao
      Pages: 78 - 90
      Abstract: Publication date: 1 November 2017
      Source:Applied Mathematics and Computation, Volume 312
      Author(s): Chengbo Yi, Jianwen Feng, Jingyi Wang, Chen Xu, Yi Zhao
      This paper investigates the synchronization problem of a class of general hybrid coupling delayed neural networks with internal delay as well as coupling delay. A general hybrid coupling term involving current-state coupling, discrete-delay coupling and distributed-delay coupling is considered. The partial mixed pinning impulsive control is proposed for achieving synchronization, which is combined with the advantage of pinning impulsive control and two impulsive effects simultaneously (i.e. synchronization and desynchronization). In order to handle the difficulties of multi-time delays, some generalized differential inequalities about time-varying delays are established. By using Lyapunov functional method and applying a mixed pinning impulsive control scheme, some sufficient conditions are derived to guarantee global synchronization of the neural networks. Moreover, our results can cover and extend the previous related works. Finally, numerical examples are also given to illustrate the efficiency of our methods and the theoretical results.

      PubDate: 2017-06-02T07:13:23Z
      DOI: 10.1016/j.amc.2017.04.030
      Issue No: Vol. 312 (2017)
       
  • Numerical simulation of droplet evaporation on a hot surface near
           Leidenfrost regime using multiphase lattice Boltzmann method
    • Authors: Naser Karami; Mohammad Hassan Rahimian; Mohsen Farhadzadeh
      Pages: 91 - 108
      Abstract: Publication date: 1 November 2017
      Source:Applied Mathematics and Computation, Volume 312
      Author(s): Naser Karami, Mohammad Hassan Rahimian, Mohsen Farhadzadeh
      In the present article, evaporation of a liquid drop spreading on hot surface, based on the lattice Boltzmann method, is simulated. Liquid and gas phases are considered to be incompressible. The divergence-free condition of the velocity field is no longer satisfied since the phase change occurs at the interface. In order to take into account the vaporization effects, the convective Cahn–Hilliard equation is extended. The phase change process is modeled by employing a proper source term at the interface. The D2Q9 structure is used in the present simulation. Effects of different non-dimensional parameters including the Bond number, liquid Archimedes number, gas Stefan number, density ratio, and the Prandtl number on behavior of liquid drop are investigated. Computational results showed that increasing the Bond number, liquid Archimedes number and density ratio accelerates the evaporation rate. The Leidenfrost regime is observed in high Stefan numbers, while in low Stefan numbers, the drop is attached to the heated wall. Furthermore, decreasing the equilibrium contact angle leads to the lagging of the Leidenfrost regime.

      PubDate: 2017-06-02T07:13:23Z
      DOI: 10.1016/j.amc.2017.05.038
      Issue No: Vol. 312 (2017)
       
  • Non-fragile asynchronous H∞ control for uncertain stochastic memory
           systems with Bernoulli distribution
    • Authors: Jinnan Luo; Wenhong Tian; Shouming Zhong; Kaibo Shi; Hao Chen; Xian-Ming Gu; Wenqin Wang
      Pages: 109 - 128
      Abstract: Publication date: 1 November 2017
      Source:Applied Mathematics and Computation, Volume 312
      Author(s): Jinnan Luo, Wenhong Tian, Shouming Zhong, Kaibo Shi, Hao Chen, Xian-Ming Gu, Wenqin Wang
      This study constructs and investigates the non-fragile asynchronous H ∞ control for uncertain stochastic memory systems with Bernoulli distribution. The system not only contains the randomly occurring uncertainties of all parameters (ROUAPs) and stochastic disturbances in the system model, but also includes randomly gain perturbations in the controller. By introducing the stochastic variables, a new model structure is built obeying Bernoulli distribution to describe the system and the controller. Moreover, a modified Lyapunov–Krasovskii function (LKF) is constructed, combining Itô’s differential formula and free-weighting matrix method, less conservative results are presented in terms of the linear matrix inequality (LMI). Furthermore, an observer-based non-fragile asynchronous H ∞ controller is designed without any limits on the system parameters. Finally, three numerical examples are provided to demonstrate the effectiveness and feasibility of the proposed results.

      PubDate: 2017-06-02T07:13:23Z
      DOI: 10.1016/j.amc.2017.05.003
      Issue No: Vol. 312 (2017)
       
  • Limit cycles that do not comprise steady states of chemical reactors
    • Authors: Marek Berezowski
      Pages: 129 - 133
      Abstract: Publication date: 1 November 2017
      Source:Applied Mathematics and Computation, Volume 312
      Author(s): Marek Berezowski
      It is possible that self-induced oscillations appear in chemical reactors, and that their range does not reach the steady state, although such state exists. To prove this, a cascade of tank chemical reactors coupled with mass recycle loop was tested numerically. The above-mentioned phenomenon is characterized by the location of the steady point out of the limit cycle in the phase portrait. This incident may be beneficial to the process, as low steady state does not have to exclude an independent increase of the conversion degree, despite being the only state and not generating oscillations.

      PubDate: 2017-06-02T07:13:23Z
      DOI: 10.1016/j.amc.2017.05.002
      Issue No: Vol. 312 (2017)
       
  • Complementarity eigenvalue problems for nonlinear matrix pencils
    • Authors: A. Pinto da Costa; A. Seeger; F.M.F. Simões
      Pages: 134 - 148
      Abstract: Publication date: 1 November 2017
      Source:Applied Mathematics and Computation, Volume 312
      Author(s): A. Pinto da Costa, A. Seeger, F.M.F. Simões
      This work deals with a class of nonlinear complementarity eigenvalue problems that, from a mathematical point of view, can be written as an equilibrium model [ A ( λ ) B ( λ ) C ( λ ) D ( λ ) ] [ u w ] = [ v 0 ] , u ≥ 0 , v ≥ 0 , u T v = 0 , where the vectors u and v are subject to complementarity constraints. The block structured matrix appearing in this partially constrained equilibrium model depends continuously on a real scalar λ ∈ Λ. Such a scalar plays the role of a non-dimensional load parameter, but it may have also other physical meanings. The symbol Λ stands for a given bounded interval, possibly non-closed. The numerical problem at hand is to find all the values of λ (and, in particular, the smallest one) for which the above equilibrium model admits a nontrivial solution. By using the so-called Facial Reduction Technique, we solve efficiently such a numerical problem in various randomly generated test examples and in two mechanical examples of unilateral buckling of columns.

      PubDate: 2017-06-02T07:13:23Z
      DOI: 10.1016/j.amc.2017.05.028
      Issue No: Vol. 312 (2017)
       
  • Energy of matrices
    • Authors: Diego Bravo; Florencia Cubría; Juan Rada
      Pages: 149 - 157
      Abstract: Publication date: 1 November 2017
      Source:Applied Mathematics and Computation, Volume 312
      Author(s): Diego Bravo, Florencia Cubría, Juan Rada
      Let M n ( C ) denote the space of n × n matrices with entries in C . We define the energy of A ∈ M n ( C ) as (1) E ( A ) = ∑ k = 1 n λ k − t r ( A ) n where λ 1 , … , λ n are the eigenvalues of A, tr(A) is the trace of A and z denotes the modulus of z ∈ C . If A is the adjacency matrix of a graph G then E ( A ) is precisely the energy of the graph G introduced by Gutman in 1978. In this paper, we compare the energy E with other well-known energies defined over matrices. Then we find upper and lower bounds of E which extend well-known results for the energies of graphs and digraphs. Also, we obtain new results on energies defined over the adjacency, Laplacian and signless Laplacian matrices of digraphs.

      PubDate: 2017-06-06T14:57:17Z
      DOI: 10.1016/j.amc.2017.05.051
      Issue No: Vol. 312 (2017)
       
  • Successive iterations and positive extremal solutions for a Hadamard type
           fractional integro-differential equations on infinite domain
    • Authors: Ke Pei; Guotao Wang; Yanyan Sun
      Pages: 158 - 168
      Abstract: Publication date: 1 November 2017
      Source:Applied Mathematics and Computation, Volume 312
      Author(s): Ke Pei, Guotao Wang, Yanyan Sun
      A Hadamard type fractional integro-differential equation on infinite intervals is considered. By using monotone iterative technique, we not only get the existence of positive solutions, but also seek the positive minimal and maximal solutions and get two explicit monotone iterative sequences which converge to the extremal solutions. At last, to illustrative the main result, an example is also discussed.

      PubDate: 2017-06-06T14:57:17Z
      DOI: 10.1016/j.amc.2017.05.056
      Issue No: Vol. 312 (2017)
       
  • The impact of cost uncertainty on Cournot oligopoly games
    • Authors: S.S. Askar; M.F. Elettreby
      Pages: 169 - 176
      Abstract: Publication date: 1 November 2017
      Source:Applied Mathematics and Computation, Volume 312
      Author(s): S.S. Askar, M.F. Elettreby
      In this paper, Cournot oligopoly model is examined with an uncertain quadratic cost function. A random quadratic cost function is introduced in this model. The model consists of three competed firms on which each firm in the model wants to maximize its expected profit and also wants to minimize its uncertainty by minimizing the cost. To handle this multi-objective optimization problem, the expectation and worst-case approaches are adopted used to study uncertainty. The existence and uniqueness of the equilibrium are obtained. The asymptotic behavior of the equilibrium point is also investigated. Complete stability and bifurcation analysis are provided. The obtained theoretical results are verified by numerical simulation.

      PubDate: 2017-06-06T14:57:17Z
      DOI: 10.1016/j.amc.2017.05.062
      Issue No: Vol. 312 (2017)
       
  • Spatiotemporal dynamics and spatial pattern in a diffusive intraguild
           predation model with delay effect
    • Authors: Renji Han; Binxiang Dai
      Pages: 177 - 201
      Abstract: Publication date: 1 November 2017
      Source:Applied Mathematics and Computation, Volume 312
      Author(s): Renji Han, Binxiang Dai
      Based on biological meaning, a kind of diffusive intraguild predation (IGP: resource, IG prey and IG predator) model with delay effect is investigated in this paper. The model has Holling-Type I functional response between resource-IG prey and resource-IG predator; Holling-Type II functional response between IG prey and IG predator. We first give sufficient conditions on the stability of possible nonnegative constant steady-state solutions for the proposed model, which give us a complete picture of the global dynamics. Then we investigate Hopf bifurcation near the unique positive constant steady-state solution by taking delay as bifurcation parameter and derive the Hopf bifurcation threshold. It is shown that the delay can induce three types of bistability (node-node bistability, node-cycle bistability and cycle-cycle bistability), periodic oscillations and irregular oscillations triggering spatiotemporal chaos in the diffusive IGP model. Numerical simulations are performed to illustrate our theoretical results and suggest that delay can even trigger the emergence of self-organised spatiotemporal patterns, which evolve from spiral patterns to irregular spatial patterns via spatiotemporal Hopf bifurcation. In addition, the impact of diffusion on the model’s dynamics under certain time delay are also explored.

      PubDate: 2017-06-06T14:57:17Z
      DOI: 10.1016/j.amc.2017.05.053
      Issue No: Vol. 312 (2017)
       
  • On the difference between the Szeged and the Wiener index
    • Authors: Marthe Bonamy; Martin Knor; Borut Lužar; Alexandre Pinlou; Riste Škrekovski
      Pages: 202 - 213
      Abstract: Publication date: 1 November 2017
      Source:Applied Mathematics and Computation, Volume 312
      Author(s): Marthe Bonamy, Martin Knor, Borut Lužar, Alexandre Pinlou, Riste Škrekovski
      We prove a conjecture of Nadjafi-Arani et al. on the difference between the Szeged and the Wiener index of a graph (Nadjafi-Aranifi et al., 2012). Namely, if G is a 2-connected non-complete graph on n vertices, then Sz ( G ) − W ( G ) ≥ 2 n − 6 . Furthermore, the equality is obtained if and only if G is the complete graph K n − 1 with an extra vertex attached to either 2 or n − 2 vertices of K n − 1 . We apply our method to strengthen some known results on the difference between the Szeged and the Wiener index of bipartite graphs, graphs of girth at least five, and the difference between the revised Szeged and the Wiener index. We also propose a stronger version of the aforementioned conjecture.

      PubDate: 2017-06-06T14:57:17Z
      DOI: 10.1016/j.amc.2017.05.047
      Issue No: Vol. 312 (2017)
       
  • Hopf bifurcation for a delayed predator–prey diffusion system with
           Dirichlet boundary condition
    • Authors: Zhan-Ping Ma; Hai-Feng Huo; Hong Xiang
      Pages: 1 - 18
      Abstract: Publication date: 15 October 2017
      Source:Applied Mathematics and Computation, Volume 311
      Author(s): Zhan-Ping Ma, Hai-Feng Huo, Hong Xiang
      A delayed predator–prey diffusion system with Beddington–DeAngelis functional response under Dirichlet boundary condition is investigated. The existence and stability of the positive spatially nonhomogeneous steady-state solution are obtained via the implicit function theorem. Moreover, taking feedback time delay τ as the bifurcation parameter, Hopf bifurcation near the positive steady-state solution is proved to occur at a sequence of critical values, we can show that feedback time delay can induce nonhomogeneous periodic oscillatory patterns. The direction of Hopf bifurcation is forward when parameter m in model (1.2) is sufficiently large. Numerical simulations and numerical solutions are presented to illustrate our theoretical results.

      PubDate: 2017-05-18T08:01:59Z
      DOI: 10.1016/j.amc.2017.05.012
      Issue No: Vol. 311 (2017)
       
  • Performance of small-world feedforward neural networks for the diagnosis
           of diabetes
    • Authors: Okan Erkaymaz; Mahmut Ozer; Matjaž Perc
      Pages: 22 - 28
      Abstract: Publication date: 15 October 2017
      Source:Applied Mathematics and Computation, Volume 311
      Author(s): Okan Erkaymaz, Mahmut Ozer, Matjaž Perc
      We investigate the performance of two different small-world feedforward neural networks for the diagnosis of diabetes. We use the Pima Indians Diabetic Dataset as input. We have previously shown than the Watts–Strogatz small-world feedforward neural network delivers a better classification performance than conventional feedforward neural networks. Here, we compare this performance further with the one delivered by the Newman–Watts small-world feedforward neural network, and we show that the latter is better still. Moreover, we show that Newman–Watts small-world feedforward neural networks yield the highest output correlation as well as the best output error parameters.

      PubDate: 2017-05-18T08:01:59Z
      DOI: 10.1016/j.amc.2017.05.010
      Issue No: Vol. 311 (2017)
       
  • New elliptic projections and a priori error estimates of H1-Galerkin mixed
           finite element methods for optimal control problems governed by parabolic
           integro-differential equations
    • Authors: Tianliang Hou; Jiaqi Zhang; Yanzhong Li; Yueting Yang
      Pages: 29 - 46
      Abstract: Publication date: 15 October 2017
      Source:Applied Mathematics and Computation, Volume 311
      Author(s): Tianliang Hou, Jiaqi Zhang, Yanzhong Li, Yueting Yang
      In this paper, we discuss a priori error estimates of H 1-Galerkin mixed finite element methods for optimal control problems governed by parabolic integro-differential equations. The state variables and co-state variables are approximated by the lowest order Raviart–Thomas mixed finite element and linear finite element, and the control variable is approximated by piecewise constant functions. Both semidiscrete and fully discrete schemes are considered. Based on some new elliptic projections, we derive a priori error estimates for the control variable, the state variables and the adjoint state variables. The related a priori error estimates for the new projections error are also established. A numerical example is given to demonstrate the theoretical results.

      PubDate: 2017-05-18T08:01:59Z
      DOI: 10.1016/j.amc.2017.04.036
      Issue No: Vol. 311 (2017)
       
  • Coevolving allocation of resources and cooperation in spatial evolutionary
           games
    • Authors: Chao Luo; Zhipeng Jiang
      Pages: 47 - 57
      Abstract: Publication date: 15 October 2017
      Source:Applied Mathematics and Computation, Volume 311
      Author(s): Chao Luo, Zhipeng Jiang
      In this article, the co-evolution of resources and cooperation in spatial evolutionary games is studied. Existence of competition in nature and human society derives from the confrontation between the limit of resources and the infinity of demands. As a result, resource allocation is inseparable from various games, where resource acquisition depends on the outcome of games and the number of possessing resources would in turn affect the choice of game strategy. Here, by means of a concise and strategy-independent rule, limited resources are firstly involved into the evolution of prisoner's dilemma game (PDG) and three main results are obtained: (a) the coevolving resources in PDG can effectively promote the level of cooperation, and players with cooperative behavior are easier to possess resources; (b) in equilibrium, resources in the system approximately follow the power law distribution. A fraction of players would hold the most of resources but a considerable number of players lose almost all their property; (c) when the lowest guarantee of resources as a protective mechanism is assigned to each player, the level of cooperation can be further promoted. Moreover, an optimal value of the lowest guarantee can be found to inspire cooperative behaviors. The related microscopic system properties are studied and other social dilemmas as different kinds of representatives are also discussed.

      PubDate: 2017-05-18T08:01:59Z
      DOI: 10.1016/j.amc.2017.05.009
      Issue No: Vol. 311 (2017)
       
  • A phenomenological model for the aerodynamics of the knuckleball
    • Authors: Mario A. Aguirre-López; O. Díaz-Hernández; F-Javier Almaguer; Javier Morales-Castillo; Gerardo J. Escalera Santos
      Pages: 58 - 65
      Abstract: Publication date: 15 October 2017
      Source:Applied Mathematics and Computation, Volume 311
      Author(s): Mario A. Aguirre-López, O. Díaz-Hernández, F-Javier Almaguer, Javier Morales-Castillo, Gerardo J. Escalera Santos
      The movement of a knuckleball depends on the seams of the baseball strongly, as a consequence a lift force proportional to the square of the ball velocity is occasioned. In this work we develop a model as a function of the position of the seams to compute the lift coefficient that appears in the lift force acting in upward direction, for four-seam (4S) and two-seam (2S) orientations of the ball. The result of the model is consistent with experimental data. In addition, deviations caused by lift force are calculated for all angles in the 4S and 2S orientations and some trajectories are generated.

      PubDate: 2017-05-18T08:01:59Z
      DOI: 10.1016/j.amc.2017.05.001
      Issue No: Vol. 311 (2017)
       
  • Stationary distribution and extinction of the DS-I-A model disease with
           periodic parameter function and Markovian switching
    • Authors: Songnan Liu; Xiaojie Xu; Daqing Jiang; Tasawar Hayat; Bashir Ahmad
      Pages: 66 - 84
      Abstract: Publication date: 15 October 2017
      Source:Applied Mathematics and Computation, Volume 311
      Author(s): Songnan Liu, Xiaojie Xu, Daqing Jiang, Tasawar Hayat, Bashir Ahmad
      This paper introduces the DS-I-A model with periodic parameter function and Markovian switching. First, we will prove that the solution of the system is positive and global. Furthermore, we draw a conclusion that there exists nontrivial positive periodic solution for the stochastic system and we establish sufficient conditions for extinction of system. Moreover, we construct stochastic Lyapunov functions with regime switching to obtain the existence of ergodic stationary distribution of the solution to DS-I-A model perturbed by white and telephone noises and we also establish sufficient conditions for extinction of system with regime switching. Finally, we test our theory conclusion by simulations.

      PubDate: 2017-05-18T08:01:59Z
      DOI: 10.1016/j.amc.2017.04.029
      Issue No: Vol. 311 (2017)
       
  • An implicit three-dimensional fractional step method for the simulation of
           the corona phenomenon
    • Authors: Andrea Villa; Luca Barbieri; Marco Gondola; Andres R. Leon-Garzon; Roberto Malgesini
      Pages: 85 - 99
      Abstract: Publication date: 15 October 2017
      Source:Applied Mathematics and Computation, Volume 311
      Author(s): Andrea Villa, Luca Barbieri, Marco Gondola, Andres R. Leon-Garzon, Roberto Malgesini
      The modeling of the corona effect has many technological applications especially in the power industry. The reduction of the computational burden of three dimensional simulations is a key factor in this area. Stability requirements may impose unacceptable constraints in three dimensions leading to huge computational costs. In this paper we develop an effective time-splitting method that remains stable and positive even when relatively large time steps and coarse meshes are used. We analyze the theoretical properties of the method and validate our approach against already published experimental data.

      PubDate: 2017-05-18T08:01:59Z
      DOI: 10.1016/j.amc.2017.04.037
      Issue No: Vol. 311 (2017)
       
  • Existence, uniqueness, and exponential stability analysis for
           complex-valued memristor-based BAM neural networks with time delays
    • Authors: Runan Guo; Ziye Zhang; Xiaoping Liu; Chong Lin
      Pages: 100 - 117
      Abstract: Publication date: 15 October 2017
      Source:Applied Mathematics and Computation, Volume 311
      Author(s): Runan Guo, Ziye Zhang, Xiaoping Liu, Chong Lin
      This article explores the exponential stability problem of complex-valued bidirectional associative memory (BAM) neural networks with time delays. This analysis is on the basis of the M-matrix approach, the differential inclusions theory and the homeomorphism property. By constructing a novel Lyapunov functional, a sufficient criterion for the existence, uniqueness, and exponential stability for the equilibrium point of the considered system is derived. Moreover, similar results in terms of M-matrix are also obtained for the exponential stability problem of delayed complex-valued BAM neural networks without memristors. In the end, two numerical examples are provided to demonstrate the availability of the obtained results.

      PubDate: 2017-05-18T08:01:59Z
      DOI: 10.1016/j.amc.2017.05.021
      Issue No: Vol. 311 (2017)
       
  • Adaptive synchronization of memristive neural networks with time-varying
           delays and reaction–diffusion term
    • Authors: Zhengwen Tu; Nan Ding; Liangliang Li; Yuming Feng; Limin Zou; Wei Zhang
      Pages: 118 - 128
      Abstract: Publication date: 15 October 2017
      Source:Applied Mathematics and Computation, Volume 311
      Author(s): Zhengwen Tu, Nan Ding, Liangliang Li, Yuming Feng, Limin Zou, Wei Zhang
      This paper focuses on the synchronization control methodology for a class of delayed reaction–diffusion memristor-based neural networks. Adaptive controllers are designed such that the considered model can realize asymptotical and exponential synchronization goal under the framework of inequality techniques and Lyapunov method. The results obtained in this paper consider the effect of time delays as well as the reaction–diffusion terms, which generalize and improve some existing results. The derived synchronization criteria are presented in the form of algebraic, which can be easily verified. Finally, numerical example and its simulations are given to show the correctness of the obtained results.

      PubDate: 2017-05-18T08:01:59Z
      DOI: 10.1016/j.amc.2017.05.005
      Issue No: Vol. 311 (2017)
       
  • Reliable state estimation of switched neutral system with nonlinear
           actuator faults via sampled-data control
    • Authors: R. Sakthivel; S.A. Karthick; B. Kaviarasan; Yongdo Lim
      Pages: 129 - 147
      Abstract: Publication date: 15 October 2017
      Source:Applied Mathematics and Computation, Volume 311
      Author(s): R. Sakthivel, S.A. Karthick, B. Kaviarasan, Yongdo Lim
      This paper aims to solve the reliable state estimation problem of an uncertain switched neutral system subject to nonlinear actuator faults and time-varying delay by using sampled-data approach. To be precise, the well-known Luenberger estimator is constructed to determine the immeasurable states of the addressed system and a general actuator fault model is employed to describe the nonlinearities encountering in the control design. After that, by defining an error variable, the corresponding estimation error system is formulated. By the virtue of Lyapunov–Krasovskii stability theory and average dwell-time method, a new delay-dependent sufficient criterion is established to guarantee the existence of the desired estimator and sampled-data gains and subsequently, the explicit expression of those gains is presented by means of the solution to a set of linear matrix inequalities. Moreover, two numerical examples are given to show the efficiency of the proposed estimator design schemes, where it is shown that the estimator gains can ensure the exponential stability of the considered switched neutral systems.

      PubDate: 2017-05-18T08:01:59Z
      DOI: 10.1016/j.amc.2017.05.006
      Issue No: Vol. 311 (2017)
       
  • Decentralized adaptive delay-dependent neural network control for a class
           of large-scale interconnected nonlinear systems
    • Authors: Changjiang Xi; Ding Zhai; Xiaojian Li; Qingling Zhang
      Pages: 148 - 163
      Abstract: Publication date: 15 October 2017
      Source:Applied Mathematics and Computation, Volume 311
      Author(s): Changjiang Xi, Ding Zhai, Xiaojian Li, Qingling Zhang
      This paper investigates the problem of adaptive decentralized control for a class of large-scale interconnected nonlinear systems with unknown time delays, and the unmeasured states. Compared with the existing results, the delay parameters are estimated by utilizing mean value theorem and adaptive mechanism. With the help of the delay estimations, a delay-dependent state observer is designed to make the states available. Based on Lyapunov stability theorem and the backstepping technique, the novel adaptive neural network memory output-feedback controllers are developed. It is proved that the proposed control scheme can guarantee that all the signals in the closed-loop system are bounded and the tracking error converges to the adjustable neighborhood of the origin. The effectiveness of the proposed control scheme is illustrated by the simulation results.

      PubDate: 2017-05-18T08:01:59Z
      DOI: 10.1016/j.amc.2017.05.026
      Issue No: Vol. 311 (2017)
       
  • Stability analysis of linear systems with interval time-varying delays
           utilizing multiple integral inequalities
    • Authors: É. Gyurkovics; G. Szabó-Varga; K. Kiss
      Pages: 164 - 177
      Abstract: Publication date: 15 October 2017
      Source:Applied Mathematics and Computation, Volume 311
      Author(s): É. Gyurkovics, G. Szabó-Varga, K. Kiss
      This paper is devoted to stability analysis of continuous-time delay systems with interval time-varying delays having known bounds on the delay derivatives. A parameterized family of Lyapunov–Krasovskii functionals involving multiple integral terms is introduced, and novel multiple integral inequalities are utilized to derive sufficient stability condition for systems with time-varying delays. The efficiency of the proposed method is illustrated by numerical examples.

      PubDate: 2017-05-18T08:01:59Z
      DOI: 10.1016/j.amc.2017.05.004
      Issue No: Vol. 311 (2017)
       
  • Rainbow connection numbers of Cayley digraphs on abelian groups
    • Authors: Yingbin Ma; Zaiping Lu
      Pages: 178 - 183
      Abstract: Publication date: 15 October 2017
      Source:Applied Mathematics and Computation, Volume 311
      Author(s): Yingbin Ma, Zaiping Lu
      A directed path in an edge colored digraph is said to be a rainbow path if no two edges on this path share the same color. An edge colored digraph Γ is rainbow connected if any two distinct vertices can be reachable from each other through rainbow paths. The rc-number of a digraph Γ is the smallest number of colors that are needed in order to make Γ rainbow connected. In this paper, we investigate the rc-numbers of Cayley digraphs on abelian groups and present an upper bound for such digraphs. In addition, we consider the rc-numbers of bi-Cayley graphs on abelian groups.

      PubDate: 2017-05-23T08:11:18Z
      DOI: 10.1016/j.amc.2017.05.024
      Issue No: Vol. 311 (2017)
       
  • Inverse engineering preferences in simple games
    • Authors: A. Garcia; K.W. Hipel
      Pages: 184 - 194
      Abstract: Publication date: 15 October 2017
      Source:Applied Mathematics and Computation, Volume 311
      Author(s): A. Garcia, K.W. Hipel
      A method for inverse engineering decision-makers’ preferences based on observable behaviour is designed. This technique allows analysts to narrow down the list of potential preference rankings of possible states in a conflict for each decision-maker using probabilities and expected values. During the inverse engineering procedure, the list of all possible preference rankings is narrowed as decision-makers move and counter-move. Accurate preference information is key to building quality conflict and game models; however, preference rankings for decision-makers are often difficult to obtain directly. A simple two decision-maker, four-state game is used to demonstrate the applicability of the method and to illustrate the insights it provides.

      PubDate: 2017-05-23T08:11:18Z
      DOI: 10.1016/j.amc.2017.05.016
      Issue No: Vol. 311 (2017)
       
  • SOR-like iteration method for solving absolute value equations
    • Authors: Yi-Fen Ke; Chang-Feng Ma
      Pages: 195 - 202
      Abstract: Publication date: 15 October 2017
      Source:Applied Mathematics and Computation, Volume 311
      Author(s): Yi-Fen Ke, Chang-Feng Ma
      In this paper, we propose an SOR-like iteration method for solving the absolute value equation (AVE), which is obtained by reformulating equivalently the AVE as a two-by-two block nonlinear equation. The convergence results of the proposed iteration method are proved under certain assumptions imposed on the involved parameter. Numerical experiments are given to demonstrate the feasibility, robustness and effectiveness of the SOR-like iteration method.

      PubDate: 2017-05-23T08:11:18Z
      DOI: 10.1016/j.amc.2017.05.035
      Issue No: Vol. 311 (2017)
       
  • Global dynamics of an HIV model incorporating senior male clients
    • Authors: Wei Yang; Zhan Shu; James Lam; Chengjun Sun
      Pages: 203 - 216
      Abstract: Publication date: 15 October 2017
      Source:Applied Mathematics and Computation, Volume 311
      Author(s): Wei Yang, Zhan Shu, James Lam, Chengjun Sun
      In this paper, a compartmental model for the human immunodeficiency virus (HIV) infection among female sex workers and senior male clients is formulated. The qualitative analyses are carried out in terms of the basic reproduction number R 0. The global analytical results are then obtained by employing novel techniques and methods: the disease-free equilibrium is of global asymptotic stability when a threshold R 0 ≤ 1 is satisfied; otherwise, a unique endemic equilibrium exists and it is globally asymptotically stable. Numerical simulations are performed to illustrate and extend analytical results. It is shown that diagnosis, treatment and education have positive effect on the control of HIV transmission, but senior male clients can burden the HIV epidemic and prolong the duration of the disease outbreak.

      PubDate: 2017-05-23T08:11:18Z
      DOI: 10.1016/j.amc.2017.05.030
      Issue No: Vol. 311 (2017)
       
  • Comparative analysis of GMDH neural network based on genetic algorithm and
           particle swarm optimization in stable channel design
    • Authors: Saba Shaghaghi; Hossein Bonakdari Azadeh Gholami Isa Ebtehaj Maryam Zeinolabedini
      Abstract: Publication date: 15 November 2017
      Source:Applied Mathematics and Computation, Volume 313
      Author(s): Saba Shaghaghi, Hossein Bonakdari, Azadeh Gholami, Isa Ebtehaj, Maryam Zeinolabedini
      Predicting the behavior and geometry of channels and alluvial rivers in which erosion and sediment transport are in equilibrium is among the most important topics relating to river morphology. In this study, the genetic algorithm (GA) is employed to improve the multi-objective Pareto optimal design of group method of data handling (GMDH) neural network results. The connectivity configuration in such networks is not restricted to adjacent layers. GA is applied as a new encoding scheme to generalize the structure of GMDH (GS-GMDH) for determining stable channel width based on 85 field datasets. In addition, the particle swarm optimization (PSO) learning algorithm is extended to GMDH for a better comparison of the models. The input parameters affecting channel width are the discharge, median diameter of bed sediments and Shields parameter. Sensitivity and uncertainty analyses are applied to assess the impact of each input parameter on the output parameter. The results show that GS-GMDH is more efficient than GMDH-PSO, with a high difference between predicted values. The GS-GMDH model with a correlation coefficient (R) value of 0.89 and mean absolute relative error (MARE) value of 0.053 predicted the width of a stable channel more precisely than the regression method with R of 0.81 and MARE of 0.075. The prediction uncertainty of the developed GS-GMDH indicates that the GS-GMDH model with input parameters Q, d50 and τ* has the least mean prediction error (MPE) of 0.019 compared with 0.116, 0.025 and 0.036 for the other models with (d50, τ*), (Q, d50 ) and (Q, τ*) input parameters, respectively.

      PubDate: 2017-06-21T15:40:13Z
       
  • The splitting mixed element method for parabolic equation and its
           application in chemotaxis model
    • Authors: Yuezhi Zhang; Jiansong Zhang
      Abstract: Publication date: 15 November 2017
      Source:Applied Mathematics and Computation, Volume 313
      Author(s): Yuezhi Zhang, Jiansong Zhang
      In this article, we first revisit the splitting positive definite mixed element method for reaction-diffusion equation, in which the mixed system is symmetric positive definite. And then we apply this technique to the variable coefficient parabolic equation and give the corresponding fully-discrete scheme with second-order central difference formula in time. We study the convergence of the semi-discrete and fully-discrete scheme and derive the error estimates. Finally, we extend this method to chemotaxis model and give the corresponding numerical results, which suggests that it has the ability to recover blowing-up solutions.

      PubDate: 2017-06-21T15:40:13Z
       
  • A fourth-order extrapolated compact difference method for time-fractional
           convection-reaction-diffusion equations with spatially variable
           coefficients
    • Authors: Lei Ren; Yuan-Ming Wang
      Abstract: Publication date: 1 November 2017
      Source:Applied Mathematics and Computation, Volume 312
      Author(s): Lei Ren, Yuan-Ming Wang
      This paper is concerned with numerical methods for a class of time-fractional convection-reaction-diffusion equations. The convection and reaction coefficients of the equation may be spatially variable. Based on the weighted and shifted Grünwald–Letnikov formula for the time-fractional derivative and a compact finite difference approximation for the spatial derivative, we establish an unconditionally stable compact difference method. The local truncation error and the solvability of the resulting scheme are discussed in detail. The stability of the method and its convergence of third-order in time and fourth-order in space are rigorously proved by the discrete energy method. Combining this method with a Richardson extrapolation, we present an extrapolated compact difference method which is fourth-order accurate in both time and space. A rigorous proof for the convergence of the extrapolation method is given. Numerical results confirm our theoretical analysis, and demonstrate the accuracy of the compact difference method and the effectiveness of the extrapolated compact difference method.

      PubDate: 2017-05-28T07:04:40Z
       
  • Efficient algorithm for the vertex cover Pk problem on cacti
    • Authors: Jianhua
      Abstract: Publication date: 15 October 2017
      Source:Applied Mathematics and Computation, Volume 311
      Author(s): Jianhua Tu
      Given a graph G = ( V , E ) , the vertex cover Pk (VCPk ) problem is to find a minimum set F⊆V such that every path of order k in G contains at least one vertex from F. For any integer k ≥ 2, the VCPk problem for general graphs is NP-hard. The paper presents an efficient algorithm for the VCPk problem on cacti.

      PubDate: 2017-05-23T08:11:18Z
       
 
 
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