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MATHEMATICS (647 journals)                  1 2 3 4 | Last

Showing 1 - 200 of 538 Journals sorted alphabetically
Abakós     Open Access   (Followers: 3)
Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg     Hybrid Journal   (Followers: 2)
Academic Voices : A Multidisciplinary Journal     Open Access   (Followers: 2)
Accounting Perspectives     Full-text available via subscription   (Followers: 7)
ACM Transactions on Algorithms (TALG)     Hybrid Journal   (Followers: 16)
ACM Transactions on Computational Logic (TOCL)     Hybrid Journal   (Followers: 4)
ACM Transactions on Mathematical Software (TOMS)     Hybrid Journal   (Followers: 6)
ACS Applied Materials & Interfaces     Full-text available via subscription   (Followers: 21)
Acta Applicandae Mathematicae     Hybrid Journal   (Followers: 1)
Acta Mathematica     Hybrid Journal   (Followers: 11)
Acta Mathematica Hungarica     Hybrid Journal   (Followers: 2)
Acta Mathematica Scientia     Full-text available via subscription   (Followers: 5)
Acta Mathematica Sinica, English Series     Hybrid Journal   (Followers: 5)
Acta Mathematica Vietnamica     Hybrid Journal  
Acta Mathematicae Applicatae Sinica, English Series     Hybrid Journal  
Advanced Science Letters     Full-text available via subscription   (Followers: 5)
Advances in Applied Clifford Algebras     Hybrid Journal   (Followers: 3)
Advances in Calculus of Variations     Hybrid Journal   (Followers: 2)
Advances in Catalysis     Full-text available via subscription   (Followers: 5)
Advances in Complex Systems     Hybrid Journal   (Followers: 7)
Advances in Computational Mathematics     Hybrid Journal   (Followers: 15)
Advances in Decision Sciences     Open Access   (Followers: 4)
Advances in Difference Equations     Open Access   (Followers: 1)
Advances in Fixed Point Theory     Open Access   (Followers: 5)
Advances in Geosciences (ADGEO)     Open Access   (Followers: 10)
Advances in Linear Algebra & Matrix Theory     Open Access   (Followers: 1)
Advances in Materials Sciences     Open Access   (Followers: 16)
Advances in Mathematical Physics     Open Access   (Followers: 6)
Advances in Mathematics     Full-text available via subscription   (Followers: 10)
Advances in Numerical Analysis     Open Access   (Followers: 4)
Advances in Operations Research     Open Access   (Followers: 11)
Advances in Porous Media     Full-text available via subscription   (Followers: 4)
Advances in Pure and Applied Mathematics     Hybrid Journal   (Followers: 5)
Advances in Pure Mathematics     Open Access   (Followers: 4)
Advances in Science and Research (ASR)     Open Access   (Followers: 6)
Aequationes Mathematicae     Hybrid Journal   (Followers: 2)
African Journal of Educational Studies in Mathematics and Sciences     Full-text available via subscription   (Followers: 5)
African Journal of Mathematics and Computer Science Research     Open Access   (Followers: 4)
Afrika Matematika     Hybrid Journal   (Followers: 1)
Air, Soil & Water Research     Open Access   (Followers: 7)
AKSIOMA Journal of Mathematics Education     Open Access   (Followers: 1)
Algebra and Logic     Hybrid Journal   (Followers: 3)
Algebra Colloquium     Hybrid Journal   (Followers: 4)
Algebra Universalis     Hybrid Journal   (Followers: 2)
Algorithmic Operations Research     Full-text available via subscription   (Followers: 5)
Algorithms     Open Access   (Followers: 9)
Algorithms Research     Open Access   (Followers: 1)
American Journal of Biostatistics     Open Access   (Followers: 9)
American Journal of Computational and Applied Mathematics     Open Access   (Followers: 3)
American Journal of Mathematical Analysis     Open Access  
American Journal of Mathematics     Full-text available via subscription   (Followers: 7)
American Journal of Operations Research     Open Access   (Followers: 5)
American Mathematical Monthly     Full-text available via subscription   (Followers: 6)
An International Journal of Optimization and Control: Theories & Applications     Open Access   (Followers: 7)
Analele Universitatii Ovidius Constanta - Seria Matematica     Open Access   (Followers: 1)
Analysis     Hybrid Journal   (Followers: 2)
Analysis and Applications     Hybrid Journal   (Followers: 1)
Analysis and Mathematical Physics     Hybrid Journal   (Followers: 4)
Analysis Mathematica     Full-text available via subscription  
Annales Mathematicae Silesianae     Open Access  
Annales mathématiques du Québec     Hybrid Journal   (Followers: 4)
Annales UMCS, Mathematica     Open Access   (Followers: 1)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica     Open Access  
Annali di Matematica Pura ed Applicata     Hybrid Journal   (Followers: 1)
Annals of Combinatorics     Hybrid Journal   (Followers: 3)
Annals of Data Science     Hybrid Journal   (Followers: 8)
Annals of Discrete Mathematics     Full-text available via subscription   (Followers: 6)
Annals of Mathematics     Full-text available via subscription  
Annals of Mathematics and Artificial Intelligence     Hybrid Journal   (Followers: 6)
Annals of Pure and Applied Logic     Open Access   (Followers: 2)
Annals of the Alexandru Ioan Cuza University - Mathematics     Open Access  
Annals of the Institute of Statistical Mathematics     Hybrid Journal   (Followers: 1)
Annals of West University of Timisoara - Mathematics     Open Access  
Annuaire du Collège de France     Open Access   (Followers: 5)
Applicable Algebra in Engineering, Communication and Computing     Hybrid Journal   (Followers: 2)
Applications of Mathematics     Hybrid Journal   (Followers: 1)
Applied Categorical Structures     Hybrid Journal   (Followers: 2)
Applied Computational Intelligence and Soft Computing     Open Access   (Followers: 12)
Applied Mathematics     Open Access   (Followers: 3)
Applied Mathematics     Open Access   (Followers: 4)
Applied Mathematics & Optimization     Hybrid Journal   (Followers: 4)
Applied Mathematics - A Journal of Chinese Universities     Hybrid Journal  
Applied Mathematics Letters     Full-text available via subscription   (Followers: 1)
Applied Mathematics Research eXpress     Hybrid Journal   (Followers: 1)
Applied Network Science     Open Access  
Applied Numerical Mathematics     Hybrid Journal   (Followers: 5)
Applied Spatial Analysis and Policy     Hybrid Journal   (Followers: 4)
Arab Journal of Mathematical Sciences     Open Access   (Followers: 2)
Arabian Journal of Mathematics     Open Access   (Followers: 2)
Archive for Mathematical Logic     Hybrid Journal   (Followers: 1)
Archive of Applied Mechanics     Hybrid Journal   (Followers: 4)
Archive of Numerical Software     Open Access  
Archives of Computational Methods in Engineering     Hybrid Journal   (Followers: 4)
Arkiv för Matematik     Hybrid Journal   (Followers: 1)
Arnold Mathematical Journal     Hybrid Journal   (Followers: 1)
Artificial Satellites : The Journal of Space Research Centre of Polish Academy of Sciences     Open Access   (Followers: 18)
Asia-Pacific Journal of Operational Research     Hybrid Journal   (Followers: 3)
Asian Journal of Algebra     Open Access   (Followers: 1)
Asian Journal of Current Engineering & Maths     Open Access  
Asian-European Journal of Mathematics     Hybrid Journal   (Followers: 2)
Australian Mathematics Teacher, The     Full-text available via subscription   (Followers: 7)
Australian Primary Mathematics Classroom     Full-text available via subscription   (Followers: 2)
Australian Senior Mathematics Journal     Full-text available via subscription   (Followers: 1)
Automatic Documentation and Mathematical Linguistics     Hybrid Journal   (Followers: 5)
Axioms     Open Access  
Baltic International Yearbook of Cognition, Logic and Communication     Open Access  
Basin Research     Hybrid Journal   (Followers: 3)
BIBECHANA     Open Access  
BIT Numerical Mathematics     Hybrid Journal  
BoEM - Boletim online de Educação Matemática     Open Access  
Boletim Cearense de Educação e História da Matemática     Open Access  
Boletim de Educação Matemática     Open Access  
Boletín de la Sociedad Matemática Mexicana     Hybrid Journal  
Bollettino dell'Unione Matematica Italiana     Full-text available via subscription   (Followers: 1)
British Journal of Mathematical and Statistical Psychology     Full-text available via subscription   (Followers: 21)
Bruno Pini Mathematical Analysis Seminar     Open Access  
Buletinul Academiei de Stiinte a Republicii Moldova. Matematica     Open Access   (Followers: 7)
Bulletin des Sciences Mathamatiques     Full-text available via subscription   (Followers: 4)
Bulletin of Dnipropetrovsk University. Series : Communications in Mathematical Modeling and Differential Equations Theory     Open Access   (Followers: 1)
Bulletin of Mathematical Sciences     Open Access   (Followers: 1)
Bulletin of the Brazilian Mathematical Society, New Series     Hybrid Journal  
Bulletin of the London Mathematical Society     Hybrid Journal   (Followers: 3)
Bulletin of the Malaysian Mathematical Sciences Society     Hybrid Journal  
Calculus of Variations and Partial Differential Equations     Hybrid Journal  
Canadian Journal of Science, Mathematics and Technology Education     Hybrid Journal   (Followers: 17)
Carpathian Mathematical Publications     Open Access   (Followers: 1)
Catalysis in Industry     Hybrid Journal   (Followers: 1)
CEAS Space Journal     Hybrid Journal  
CHANCE     Hybrid Journal   (Followers: 5)
Chaos, Solitons & Fractals     Hybrid Journal   (Followers: 3)
ChemSusChem     Hybrid Journal   (Followers: 7)
Chinese Annals of Mathematics, Series B     Hybrid Journal  
Chinese Journal of Catalysis     Full-text available via subscription   (Followers: 2)
Chinese Journal of Mathematics     Open Access  
Clean Air Journal     Full-text available via subscription   (Followers: 2)
Cogent Mathematics     Open Access   (Followers: 2)
Cognitive Computation     Hybrid Journal   (Followers: 4)
Collectanea Mathematica     Hybrid Journal  
College Mathematics Journal     Full-text available via subscription   (Followers: 2)
COMBINATORICA     Hybrid Journal  
Combustion Theory and Modelling     Hybrid Journal   (Followers: 13)
Commentarii Mathematici Helvetici     Hybrid Journal   (Followers: 1)
Communications in Contemporary Mathematics     Hybrid Journal  
Communications in Mathematical Physics     Hybrid Journal   (Followers: 1)
Communications On Pure & Applied Mathematics     Hybrid Journal   (Followers: 3)
Complex Analysis and its Synergies     Open Access   (Followers: 2)
Complex Variables and Elliptic Equations: An International Journal     Hybrid Journal  
Complexus     Full-text available via subscription  
Composite Materials Series     Full-text available via subscription   (Followers: 9)
Comptes Rendus Mathematique     Full-text available via subscription   (Followers: 1)
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 Complexity     Hybrid Journal   (Followers: 4)
Computational Mathematics and Modeling     Hybrid Journal   (Followers: 8)
Computational Mechanics     Hybrid Journal   (Followers: 4)
Computational Methods and Function Theory     Hybrid Journal  
Computational Optimization and Applications     Hybrid Journal   (Followers: 7)
Computers & Mathematics with Applications     Full-text available via subscription   (Followers: 5)
Concrete Operators     Open Access   (Followers: 4)
Confluentes Mathematici     Hybrid Journal  
COSMOS     Hybrid Journal  
Cryptography and Communications     Hybrid Journal   (Followers: 14)
Cuadernos de Investigación y Formación en Educación Matemática     Open Access  
Cubo. A Mathematical Journal     Open Access  
Czechoslovak Mathematical Journal     Hybrid Journal   (Followers: 1)
Demographic Research     Open Access   (Followers: 12)
Demonstratio Mathematica     Open Access  
Dependence Modeling     Open Access  
Design Journal : An International Journal for All Aspects of Design     Hybrid Journal   (Followers: 29)
Developments in Clay Science     Full-text available via subscription   (Followers: 1)
Developments in Mineral Processing     Full-text available via subscription   (Followers: 3)
Dhaka University Journal of Science     Open Access  
Differential Equations and Dynamical Systems     Hybrid Journal   (Followers: 2)
Discrete Mathematics     Hybrid Journal   (Followers: 7)
Discrete Mathematics & Theoretical Computer Science     Open Access  
Discrete Mathematics, Algorithms and Applications     Hybrid Journal   (Followers: 2)
Discussiones Mathematicae Graph Theory     Open Access   (Followers: 1)
Doklady Mathematics     Hybrid Journal  
Duke Mathematical Journal     Full-text available via subscription   (Followers: 1)
Edited Series on Advances in Nonlinear Science and Complexity     Full-text available via subscription  
Electronic Journal of Graph Theory and Applications     Open Access   (Followers: 2)
Electronic Notes in Discrete Mathematics     Full-text available via subscription   (Followers: 2)
Elemente der Mathematik     Full-text available via subscription   (Followers: 3)
Energy for Sustainable Development     Hybrid Journal   (Followers: 9)
Enseñanza de las Ciencias : Revista de Investigación y Experiencias Didácticas     Open Access  
Ensino da Matemática em Debate     Open Access  
Entropy     Open Access   (Followers: 5)
ESAIM: Control Optimisation and Calculus of Variations     Full-text available via subscription   (Followers: 1)
European Journal of Combinatorics     Full-text available via subscription   (Followers: 4)
European Journal of Mathematics     Hybrid Journal   (Followers: 1)
European Scientific Journal     Open Access   (Followers: 2)
Experimental Mathematics     Hybrid Journal   (Followers: 3)
Expositiones Mathematicae     Hybrid Journal   (Followers: 2)
Facta Universitatis, Series : Mathematics and Informatics     Open Access  
Fasciculi Mathematici     Open Access  
Finite Fields and Their Applications     Full-text available via subscription   (Followers: 4)
Fixed Point Theory and Applications     Open Access   (Followers: 1)
Formalized Mathematics     Open Access   (Followers: 2)
Foundations and Trends® in Econometrics     Full-text available via subscription   (Followers: 4)

        1 2 3 4 | Last

Journal Cover Chaos, Solitons & Fractals
  [SJR: 0.679]   [H-I: 110]   [3 followers]  Follow
   Hybrid Journal Hybrid journal (It can contain Open Access articles)
   ISSN (Print) 0960-0779
   Published by Elsevier Homepage  [3042 journals]
  • Community clustering based on trust modeling weighted by user interests in
           online social networks
    • Abstract: Publication date: October 2017
      Source:Chaos, Solitons & Fractals, Volume 103
      Author(s): Farman Ullah, Sungchang Lee
      Online social networking websites provide platforms through which users can express opinions and preferences on a multitude of items and topics, and follow users and information, and flood it by retweeting. User-user interests vary, and based on the users’ interests, they can be grouped to multiple implicit interest communities. However, every interaction and user may not be trustworthy. Capturing the user's interaction with others, and predicting user interest and trust from the interactions are important parts of social media analytics. In this paper, we propose community clustering for implicit community detection based on trust and interest modeling. The trust modeling is weighted by the user's interests to group the users in multiple clusters having higher interest and trust similarity within a cluster. The proposed community clustering algorithm begins by ranking the nodes by the weighted degree and then selecting the initial community centers that are not in the neighbors of each other's. We then assign the user to the community with whom the user has the higher interest and trust similarity and higher common connections topology. We provide a probabilistic trust model to predict the unknown reliable trust between users considering their friends. We model user interests based on preferences and opinions, as well as the content experienced in social media. Furthermore, we evaluate the proposed algorithm comparing publicly available datasets with well-known algorithms for clustering quality.

      PubDate: 2017-06-21T11:58:00Z
  • On the propagation of a low frequency excitation in a perturbed
           FitzHugh–Nagumo system: Simulation and experiments
    • Abstract: Publication date: October 2017
      Source:Chaos, Solitons & Fractals, Volume 103
      Author(s): S. Morfu, M. Bordet
      In this paper, we first report the response of an elementary FitzHugh–Nagumo electronic circuit excited by a low frequency sine wave and perturbed by an additive high frequency deterministic perturbation. This preliminary study constitutes a reference to analyze the collective behavior of a chain of 45 coupled elementary cells. In particular, we focus on the propagation of a low frequency sine wave which is only applied on the first fifteen cells of the lattice. It is shown that a high frequency sine wave which perturbs the whole network can enable or disable the propagation of this low frequency signal. By reducing the strength of the intercellular coupling below a critical value, we also establish that the propagation fails whatever the amplitude of the perturbation. Finally, by adding a stochastic perturbation to the high frequency deterministic perturbation, we numerically and experimentally investigate their combined effects on the propagation of the low frequency component. Numerical and experimental results reveal that, under certain conditions, noise can assist the propagation of the low frequency excitation.

      PubDate: 2017-06-21T11:58:00Z
  • Sustainable cooperation in Village Opera based on the public goods game
    • Abstract: Publication date: October 2017
      Source:Chaos, Solitons & Fractals, Volume 103
      Author(s): Yan Liu, Tong Chen, Yongjie Wang
      Many scholars have devoted to study how to improve the level of cooperation and amount of mechanisms have been presented. However, what makes cooperation sustainable' Village Opera is a kind of public cultural activities in southern China and has been on until now. It is a good example that cooperation can maintain a long time and the pattern of Village Opera is similar to public goods game(PGG). So we investigate Village Opera by PGG. To better understand the process of evolution in Village Opera, we introduce three types of agents into our spatial PGG. Through numerical simulations, we find We find that reputation can promote cooperation and reputation is influenced by habitual preference(β). Moreover, the key is that demand or tradition can maintain the cooperation level when reputation is disappear in Village Opera.

      PubDate: 2017-06-21T11:58:00Z
  • Bifurcations and stability analysis for nonlinear oscillations of an
    • Abstract: Publication date: October 2017
      Source:Chaos, Solitons & Fractals, Volume 103
      Author(s): Li Zhang, Fangqi Chen
      Analytic and numerical analyses of the nonlinear response of a three-degree-of-freedom nonlinear aeroelastic system are performed. Stability parametric regions and multiple bifurcations for the system are investigated. The damping coefficients of the plunge and pitch are considered as perturbation parameters. With aid of center manifold and normal form theories, the stability regions of the initial equilibrium point and the explicit expressions of the critical bifurcation curves are achieved, which can result in static bifurcation and Hopf bifurcation. Nonlinear flutter happens with a phenomenon of limit cycle oscillations (LCOs) when the damping coefficients are less than or greater than the linear critical values. Under certain conditions, quasi-periodic motions on 2T torus may occur. These complex dynamical behaviours are discussed in detail in this paper. This is useful to characterize the effects of different parameters on structural nonlinearities of the system and ensure that aerodynamic flutter of the airfoil does not take place. Finally, the numerical solutions simulated by four-order Runge–Kutta method are illustrated to tally with the analytic results.

      PubDate: 2017-06-21T11:58:00Z
  • Dynamical stabilization of two-dimensional trapless Bose–Einstein
           condensates by three-body interaction and quantum fluctuations
    • Abstract: Publication date: October 2017
      Source:Chaos, Solitons & Fractals, Volume 103
      Author(s): S. Sabari, K. Porsezian, P. Muruganandam
      Analyzing a Gross–Pitaevskii equation with cubic, quartic, and quintic nonlinearities through analytical and numerical methods, we examine the stability of two-dimensional (2D) trapless Bose–Einstein condensates (BECs) with two-, three-body interactions and quantum fluctuations. Applying a variational approach, we derive the equation of motion and effective potential to discuss in detail the stability of the BECs in 2D free space. We show that with the aid of quantum fluctuations it is possible to stabilize 2D trapless BEC without any oscillatory nonlinearities. Also, there is an enhancement of the stability of the system, due to the inclusion of the three-body interaction and quantum fluctuations in addition to the two-body interaction. We further study the stability of 2D trapless BECs with rapid periodic temporal modulation of scattering length by using a Feshbach resonance. We discuss all possible ways of stabilization of trapless BECs in 2D by three-body interaction and quantum fluctuations. Finally, we verify our analytical results with numerical simulation using split-step Crank–Nicholson method. These match well with the analytical predictions.

      PubDate: 2017-06-21T11:58:00Z
  • Vaccination and epidemics in networked populations—An introduction
    • Abstract: Publication date: October 2017
      Source:Chaos, Solitons & Fractals, Volume 103
      Author(s): Zhen Wang, Yamir Moreno, Stefano Boccaletti, Matjaž Perc
      This is an introduction to the special issue titled “Vaccination and epidemics in networked populations” that is in the making at Chaos, Solitons & Fractals . While vaccination is undoubtedly one of the most important preventive measures of modern times, epidemics are feared as one of the most damaging phenomena in human societies. Recent research has explored the pivotal implications of individual behavior and heterogeneous contact patterns in networked populations, as well as the many feedback loops that exist between vaccinating behavior and disease propagation [1, 2]. Interdisciplinary explorations in the realm of statistical physics, network science, nonlinear dynamics, and data analysis have given rise to theoretical epidemiology, as well as to the theory of epidemic processes in complex networks. From classical models assuming well-mixed populations and ignoring human behavior, to recent models that account for behavioral feedback and population structure, we have come a long way in understanding disease transmission and disease dynamics, and in using this knowledge to devise effective prevention strategies. This special issue is aimed at helping the further development of these synergies. We hope that it contributes to enhance our understanding of vaccination and epidemics in networked populations, by featuring works related to vaccination and epidemics using techniques ranging from complex and temporal networks to network of networks and show-casing the possibilities of interdisciplinarity via complex systems science to tackle the challenges in our quest for a healthier future. Topics of interest include but are not limited to epidemiological modeling and vaccination, behavior-vaccination dynamics, reaction-diffusion processes and metapopulation models, evolutionary and game theoretical models in epidemiology, as well as to influence maximization and digital epidemiology.

      PubDate: 2017-06-15T10:57:39Z
  • Does information of how good or bad your neighbors are enhance cooperation
           in spatial Prisoner's games?
    • Abstract: Publication date: October 2017
      Source:Chaos, Solitons & Fractals, Volume 103
      Author(s): Jun Tanimoto
      Network reciprocity is one of the key mechanisms to solve social dilemmas, and has attracted many researchers for the last decade. Here, we explore what happens if network reciprocity is dovetailed with indirect reciprocity. This is motivated by the idea that a player may utilize observed information to evaluate his neighbors. Simulations based on our minimal model reveal that adding indirect reciprocity does not always increase the level of cooperation beyond the level of model without indirect reciprocity. This implies that the combination of two different reciprocity mechanisms, each enhancing cooperation if applied independently, can lead negative interference effect on cooperation. The details of this depend on type of action assessment system determining what is good and bad. Interestingly, we found that a high level of information is not always superior to low levels of information.

      PubDate: 2017-06-15T10:57:39Z
  • Exploring inventory order policies impact under the non-negative
           constraint of order quantity: System stability, service level, and cost
    • Abstract: Publication date: October 2017
      Source:Chaos, Solitons & Fractals, Volume 103
      Author(s): Zhuoqun Li, Shiwei Sun, Yongchun Huang
      Considering the non-negative constraint of order quantity, this study explored inventory system performance, including system stability, service level, inventory cost, and the effect of transportation delay time. Both the non-negative constraint and delay time render the system nonlinear and complicated, which makes it difficult to identify optimal order policy regions that combine system stability with a high service level and low cost. The purpose of this study is to systematically reflect the impact of order policies on inventory system performance from three aspects, including system stability, service level, and cost. The results of the simulation revealed the existence of public optimal order policies for different transportation delay times. Although these optimal order policies are similar when the target inventory parameter changes, lowering the target inventory parameter can also lower the inventory cost. If an appropriate order policy can be adopted, a low target inventory reduces inventory cost while maintaining system stability and a high service level, opening up new options for decision makers in supply chain management.

      PubDate: 2017-06-11T10:34:00Z
  • A space-time fractional derivative model for European option pricing with
           transaction costs in fractal market
    • Abstract: Publication date: October 2017
      Source:Chaos, Solitons & Fractals, Volume 103
      Author(s): Lina Song
      From the point of view of fractional calculus and fractional differential equation, the work handles European option pricing problems with transaction costs in fractal market. Under the definition of the modified Riemman-Liouville fractional derivative, the pricing model based on a space-time fractional patrial differential equation is presented by the replicating portfolio, containing the Hurst exponent taken as the order of fractional derivative. And then, European call and put options are constructed and calculated by the enhanced technique of Adomian decomposition method under the finite difference frame. The fractional derivative model is finally tested by the data from the option market.

      PubDate: 2017-06-11T10:34:00Z
  • A reliable numerical algorithm for the fractional vibration equation
    • Abstract: Publication date: October 2017
      Source:Chaos, Solitons & Fractals, Volume 103
      Author(s): Harendra Singh, H.M. Srivastava, Devendra Kumar
      The key purpose of this article is to introduce a numerical algorithm for the solution of the fractional vibration equation (FVE). The numerical algorithm is based on the applications of the operational matrices of the Legendre scaling functions. The main advantage of the numerical algorithm is that it reduces the FVE into Sylvester form of algebraic equations which significantly simplify the problem. Error as well as convergence analysis of the proposed scheme are shown. Numerical results are discussed taking different initial conditions and wave velocities involved in the problem. Numerical results obtained by using suggested numerical algorithm are compared with the existing analytical methods for the different cases of FVE.

      PubDate: 2017-06-11T10:34:00Z
  • Electromagnetic soliton propagation in a spin torque helimagnet
    • Abstract: Publication date: October 2017
      Source:Chaos, Solitons & Fractals, Volume 103
      Author(s): Saravanan M., Emmanuel Yomba
      We study the nonlinear dynamics of the electromagnetic wave propagation in a spin-torque driven helimagnet which accounts for the fundamental magnetic interactions. The dynamical Landau–Lifshitz equation includes the magnetic spin exchange, anisotropy, helimagnetic spin coupling through the anti-symmetric Dzyaloshinskii–Moriya interaction driven by the applied electric current density. The electromagnetic wave propagation is governed by the Maxwell equation with the induced current density factor. On the basis of the reductive perturbation method, we present a higher order nonlinear Schrödinger (NLS) equation as a reduction of the Maxwell–Landau model. Through the direct ansatz method, we derive a set of solutions for the NLS equation. These solutions include bright, dark and kink or front soliton solutions for certain specific conditions imposed on the spin-torque helimagnet.

      PubDate: 2017-06-11T10:34:00Z
  • Hidden chaotic sets in a Hopfield neural system
    • Abstract: Publication date: October 2017
      Source:Chaos, Solitons & Fractals, Volume 103
      Author(s): Marius-F. Danca, Nikolay Kuznetsov
      In this paper we unveil the existence of hidden chaotic sets in a simplified Hopfield neural network with three neurons. It is shown that beside two stable cycles, the system presents hidden chaotic attractors and also hidden chaotic transients which, after a relatively long life-time, fall into regular motions along the stable cycles.

      PubDate: 2017-06-11T10:34:00Z
  • Analysis of vibration characteristics and adaptive continuous perturbation
           control of some torsional vibration system with backlash
    • Abstract: Publication date: October 2017
      Source:Chaos, Solitons & Fractals, Volume 103
      Author(s): Shuang Liu, Hongling Ai, Zhenjun Lin, Zong Meng
      The dynamic equation of some nonlinear torsional vibration system with two masses is established, which contains backlash. In the case of primary resonance, the frequency response equation of the system is deduced with the modified Lindstedt–Poincare method combined with the multiple scales method. The influence of the backlash change on the amplitude of the torsional vibration system is analyzed by the amplitude frequency response map, and by using the method of numerical analysis, the influence of the backlash change on the system entering the chaotic motion is analyzed by bifurcation diagram, the maximum Lyapunov exponent map, phase diagram and Poincare map. After adding the method of the adaptive continuous perturbation control, the amplitude of the system decreases, and there is a transformation from chaotic motion to periodic motion.

      PubDate: 2017-06-11T10:34:00Z
  • Enhancement of cooperation through conformity-driven reproductive ability
    • Abstract: Publication date: October 2017
      Source:Chaos, Solitons & Fractals, Volume 103
      Author(s): Han-Xin Yang, Lijun Tian
      We propose a conformity-driven reproductive ability in which an individual i is more (less) likely to imitate a neighbor j’s strategy if j’s strategy is majority (minority) in i’s neighborhood. The results on the evolutionary spatial prisoner’s dilemma game show that, compared to homogeneous reproductive ability, conformity-driven reproductive ability can greatly enhance cooperation. This finding is robust with respect to different types of network structures (including square lattice and scale-free network) and to different ways of strategy updating (including synchronous and asynchronous strategy updating).

      PubDate: 2017-06-11T10:34:00Z
  • On the complexity of economic dynamics: An approach through topological
    • Abstract: Publication date: October 2017
      Source:Chaos, Solitons & Fractals, Volume 103
      Author(s): J.S. Cánovas, M. Muñoz-Guillermo
      In this paper we compute topological entropy with prescribed accuracy for different economic models, showing the existence of a topologically chaotic regime for them. In order to make the paper self-contained, a general overview on the topological entropy of continuous interval maps is given. More precisely, we focus on piecewise monotone maps which often appear as dynamical models in economy, but also in population growth and physics. Our main aim is to show that when topological entropy can be approximated up to a given error, it is a useful tool which helps to analyze the chaotic dynamics in one dimensional models.

      PubDate: 2017-06-11T10:34:00Z
  • A priori estimates for weak solution for a time-fractional nonlinear
           reaction-diffusion equations with an integral condition
    • Abstract: Publication date: October 2017
      Source:Chaos, Solitons & Fractals, Volume 103
      Author(s): Oussaeif Taki-Eddine, Bouziani Abdelfatah
      In this paper, we establish sufficient conditions for the existence and uniqueness of the solution in functional weighted Sobolev space for a class of initial-boundary value problems with integral condition for a class of nonlinear partial fractional reaction-diffusion (RD) equations. The results are established by using a priori estimate in Bouziani fractional spaces and applying an iterative process based on results obtained for the linear problem, we prove the existence, uniqueness of the weak generalized solution of the nonlinear problem.

      PubDate: 2017-06-06T10:18:00Z
  • Application of chaotic krill herd algorithm for optimal power flow with
           direct current link placement problem
    • Abstract: Publication date: October 2017
      Source:Chaos, Solitons & Fractals, Volume 103
      Author(s): Dharmbir Prasad, Aparajita Mukherjee, V. Mukherjee
      In this paper, a real parameter metaheuristic optimization algorithm (named as chaotic krill herd algorithm (KHA) (CKHA)) is analyzed to solve optimal power flow (OPF) based DC link placement problem. The present study appears to be well capable for replacement of the existing transmission lines by direct current (DC) links to have more secured, flexible and economical operation. DC link equations are incorporated into the conventional OPF problem for the solution of this type of problem. The IEEE 30-bus and IEEE 57-bus test power systems are used to demonstrate the performance of the proposed CKHA. The simulation results obtained from both KHA and CKHA techniques are compared to other recent evolutionary optimization techniques surfaced in the recent state-of-the-art literature. It is revealed that the proposed approach secures better consequence over the other newly originated popular optimization techniques (including basic KHA) and reflects its improved quality solutions and faster convergence speed.

      PubDate: 2017-06-06T10:18:00Z
  • A new evidential methodology of identifying influential nodes in complex
    • Abstract: Publication date: October 2017
      Source:Chaos, Solitons & Fractals, Volume 103
      Author(s): Tian Bian, Yong Deng
      In the field of complex networks, how to identify influential nodes in complex networks is still an open research topic. In the existing evidential centrality (EVC), the global structure information in complex networks is not taken into consideration. In addition, EVC also has the limitation that only can be applied on weighted networks. In this paper, a New Evidential Centrality (NEC) is proposed by modifying the Basic Probability Assignment (BPA) strength generated by EVC. According to the shortest paths between the nodes in the network rather than just considering local information, some other BPAs are constructed. With a modified combination rule of Dempster–Shafer evidence theory, the new centrality measure is determined. Numerical examples are used to illustrate the efficiency of the proposed method.

      PubDate: 2017-06-06T10:18:00Z
  • Some density results of relative multifractal analysis
    • Abstract: Publication date: October 2017
      Source:Chaos, Solitons & Fractals, Volume 103
      Author(s): Najmeddine Attia, Bilel Selmi, Chouhaïd Souissi
      In this paper, we establish some density results related to the multifractal generalization of the centered Hausdorff and packing measures. We also focus on the exact dimensions of locally finite and Borel regular measures. We, then, apply these theories to a class of Moran sets satisfying the strong separation condition.

      PubDate: 2017-06-01T14:35:12Z
  • Nonlinear electromechanical energy harvesters with fractional inductance
    • Abstract: Publication date: October 2017
      Source:Chaos, Solitons & Fractals, Volume 103
      Author(s): O. Foupouapouognigni, C. Nono Dueyou Buckjohn, M. Siewe Siewe, C. Tchawoua
      In this paper, an electromechanical energy harvesting system exhibiting the fractional properties and subjected to the harmonic excitation is investigated. The main objective of this paper is to discuss the system performance with parametric coupling and fractional derivative. The dynamic of the system is presented, plotting bifurcation diagram, poincaré map, power spectral density and phase portrait. These results are confirmed by using 0 − 1 test. The harmonic balance method is used with the goal to provide the analytical response of the electromechanical system. The numerical simulation validates the results obtained by this analytical technique. In addition, replacing the harmonic by the random excitation, the impact of noise intensity, the fractional order derivatives κ and the amplitude of the parametric coupling γ is investigated in detail. It points out from these results that for the best choice of D, κ and γ, the output power can be improved.

      PubDate: 2017-06-01T14:35:12Z
  • Dynamics of cytotoxic T-lymphocytes and helper cells in human
           immunodeficiency virus infection with Hill-type infection rate and
           sigmoidal CTL expansion
    • Abstract: Publication date: October 2017
      Source:Chaos, Solitons & Fractals, Volume 103
      Author(s): Nandadulal Bairagi, Debadatta Adak
      Clinical studies show intra-patient variability of real time data of host cells and virus particles in case of HIV infection. However, basic HIV models do not show oscillations unless self-proliferation of host cells is considered. Extended basic models with immune response also do not show oscillations unless delay is considered. In this study we investigate whether oscillations can be the result of immune response alone in a more realistic model in absence of delay and without self-proliferation of host cells. For this purpose, we study the interaction of host cells, virus specific T-lymphocytes and human immunodeficiency virus with generalized infection rate and sigmoidal function for CTL expansion in presence and absence of self-proliferation of helper cells. Stability and instability of both systems are determined with respect to the parameter that measures the virus replication. It is shown that an otherwise stable interior equilibrium of the system without or with self-proliferation may be unstable and show oscillations in presence of immune response. More specifically, the interior equilibrium of both systems may switch its stability more than once in presence of immune response. Our analysis indicates that immune response alone may be responsible for producing oscillations and thus exhibit intra-patient variability of host cells and virus particles in vivo non-delayed HIV models in presence or absence of self-proliferation of host cells.

      PubDate: 2017-06-01T14:35:12Z
  • Improved delay-dependent robust passivity criteria for uncertain neural
           networks with discrete and distributed delays
    • Abstract: Publication date: October 2017
      Source:Chaos, Solitons & Fractals, Volume 103
      Author(s): Zhiwen Chen, Xin Wang, Shouming Zhong, Jun Yang
      This paper studies the problem of delay-dependent passivity for uncertain neural networks (UNNs) with discrete and distributed delays. Without considering free weighting matrices and multiple integral terms, which may cause more numbers of linear matrix inequalities (LMIs) and scalar decision variables. By constructing a suitable Lyapunov–Krasovskii functional (LKF) and combining with the reciprocally convex approach, some sufficient conditions are established in terms of LMIs. Compared with existing results, the derived criteria are more effective due to the application of delay partitioning approach which takes a full consideration of all available information in various delay intervals. Two simulation examples are given to illustrate the effectiveness of the proposed method.

      PubDate: 2017-06-01T14:35:12Z
  • Impacts of additional food on diffusion induced instabilities in a
           predator-prey system with mutually interfering predator
    • Abstract: Publication date: October 2017
      Source:Chaos, Solitons & Fractals, Volume 103
      Author(s): Santu Ghorai, Swarup Poria
      In this paper, diffusion driven pattern forming instabilities in a predator-prey system with mutually interfering predators described by the Beddington-DeAngelis type functional response, are investigated in the presence of additional food for predators. Conditions for Hopf, Turing and wave instabilities are investigate around the coexisting equilibrium point analytically. Numerical simulation results are presented to show different types of spot, stripe and their mixture patterns. Different spatial domains in the parameter space are plotted. The existence and non-existence of positive, non-constant, steady states of the reaction-diffusion model are established. It is observed that spatio-temporal pattern of a predator prey system can change significantly depending upon the parameters related to additional food. We can conclude from our study, that the reasons of appearance of different spatio-temporal patterns in the real life ecological systems may be due to variation of additional food.

      PubDate: 2017-06-01T14:35:12Z
  • Classification of parameter spaces for a reaction-diffusion model on
           stationary domains
    • Abstract: Publication date: October 2017
      Source:Chaos, Solitons & Fractals, Volume 103
      Author(s): Wakil Sarfaraz, Anotida Madzvamuse
      This paper explores the classification of parameter spaces for reaction-diffusion systems of two chemical species on stationary rectangular domains. The dynamics of the system are explored both in the absence and presence of diffusion. The parameter space is fully classified in terms of the types and stability of the uniform steady state. In the absence of diffusion the results on the classification of parameter space are supported by simulations of the corresponding vector-field and some trajectories of the phase-plane around the uniform steady state. In the presence of diffusion, the main findings are the quantitative analysis relating the domain-size with the reaction and diffusion rates and their corresponding influence on the dynamics of the reaction-diffusion system when perturbed in the neighbourhood of the uniform steady state. Theoretical predictions are supported by numerical simulations both in the presence as well as in the absence of diffusion. Conditions on the domain size with respect to the diffusion and reaction rates are related to the types of diffusion-driven instabilities namely Turing, Hopf and Transcritical types of bifurcations. The first condition is a lower bound on the area of a rectangular domain in terms of the diffusion and reaction rates, which is necessary for Hopf and Transcritical bifurcation to occur. The second condition is an upper bound on the area of domain in terms of reaction-diffusion rates that restricts the diffusion-driven instability to Turing type behaviour, whilst forbidding the existence of Hopf and Transcritical bifurcation. Theoretical findings are verified by the finite element solution of the coupled system on a two dimensional rectangular domain.

      PubDate: 2017-06-01T14:35:12Z
  • Chimera-like states in a neuronal network model of the cat brain
    • Abstract: Publication date: August 2017
      Source:Chaos, Solitons & Fractals, Volume 101
      Author(s): M.S. Santos, J.D. Szezech, F.S. Borges, K.C. Iarosz, I.L. Caldas, A.M. Batista, R.L. Viana, J. Kurths
      Neuronal systems have been modelled by complex networks in different description levels. Recently, it has been verified that the networks can simultaneously exhibit one coherent and other incoherent domain, known as chimera states. In this work, we study the existence of chimera-like states in a network considering the connectivity matrix based on the cat cerebral cortex. The cerebral cortex of the cat can be separated in 65 cortical areas organised into the four cognitive regions: visual, auditory, somatosensory-motor and frontolimbic. We consider a network where the local dynamics is given by the Hindmarsh–Rose model. The Hindmarsh–Rose equations are a well known model of the neuronal activity that has been considered to simulate the membrane potential in neuron. Here, we analyse under which conditions chimera-like states are present, as well as the effects induced by intensity of coupling on them. We identify two different kinds of chimera-like states: spiking chimera-like state with desynchronised spikes, and bursting chimera-like state with desynchronised bursts. Moreover, we find that chimera-like states with desynchronised bursts are more robust to neuronal noise than with desynchronised spikes.

      PubDate: 2017-06-01T14:35:12Z
  • Robust stabilization control of bifurcations in Hodgkin-Huxley model with
           aid of unscented Kalman filter
    • Abstract: Publication date: August 2017
      Source:Chaos, Solitons & Fractals, Volume 101
      Author(s): Yanqiu Che, Bei Liu, Huiyan Li, Meili Lu, Jiang Wang, Xile Wei
      A stabilization control method combined with the unscented Kalman filter (UKF) is proposed to control bifurcations in Hodgkin–Huxley neuronal system which are highly related to the occurrence of many dynamical diseases. In neuronal system, usually only the membrane potential can be measured with noise, thus the existing bifurcation controllers, which require exact information of all system states, are impractical. In our method, the system states used to construct the bifurcation controller are estimated by the UKF from partial noisy measurements. The stability of the controlled closed loop system is guaranteed by Lyapunov stability theory. Simulation results demonstrate the effectiveness of the proposed method. The designed controller may have potential applications in the therapy of dynamical diseases.

      PubDate: 2017-06-01T14:35:12Z
  • Leadership by example promotes the emergence of cooperation in public
           goods game
    • Abstract: Publication date: August 2017
      Source:Chaos, Solitons & Fractals, Volume 101
      Author(s): Zhen Wang, Tong Chen, Yongjie Wang
      Profit-driven strategies are not always adopted in human society. Reputation, which is often treated as indirect reciprocity, is an important factor to promote cooperation. In this paper, we propose a new kind of reputation mechanism by introducing leadership by example from a complex network perspective. The degree of each node is influenced by reputation value. Leadership by example with higher reputation and greater scope of influence, which could not be ignored, are special group in social network, especially in China. Numerical simulation results are indicated that the evolutionary curves of cooperation are presented an inverted U-shape as the increase of the scope of influence of players. In addition, the relationship are discussed among initial fraction of leadership by example, synergy factors, maximal scope of influence. Whats more, the optimal initial fraction of leadership by example is studied in different conditions. Our work may be beneficial to address the cooperation dilemmas in public goods game (PGG).

      PubDate: 2017-06-01T14:35:12Z
  • Delay-dependent attractor analysis of Hopfield neural networks with
           time-varying delays
    • Abstract: Publication date: August 2017
      Source:Chaos, Solitons & Fractals, Volume 101
      Author(s): Li Wan, Qinghua Zhou, Jie Liu
      This paper investigates the attractor of Hopfield neural networks with time-varying delays. By using Lyapunov–Krasovskii functional as well as linear matrix inequality, some novel delay-dependent sufficient conditions are derived to ensure the existence of pullback attractor of the considered networks. The constraint that the derivative function of the delay function is less than 1 is removed. Finally, two examples are given to demonstrate the effectiveness of our theoretical result.

      PubDate: 2017-05-26T14:12:52Z
  • A generalized public goods game with coupling of individual ability and
           project benefit
    • Abstract: Publication date: August 2017
      Source:Chaos, Solitons & Fractals, Volume 101
      Author(s): Li-Xin Zhong, Wen-Juan Xu, Yun-Xin He, Chen-Yang Zhong, Rong-Da Chen, Tian Qiu, Yong-Dong Shi, Fei Ren
      Facing a heavy task, any single person can only make a limited contribution and team cooperation is needed. As one enjoys the benefit of the public goods, the potential benefits of the project are not always maximized and may be partly wasted. By incorporating individual ability and project benefit into the original public goods game, we study the coupling effect of the four parameters, the upper limit of individual contribution, the upper limit of individual benefit, the needed project cost and the upper limit of project benefit on the evolution of cooperation. Coevolving with the individual-level group size preferences, an increase in the upper limit of individual benefit promotes cooperation while an increase in the upper limit of individual contribution inhibits cooperation. The coupling of the upper limit of individual contribution and the needed project cost determines the critical point of the upper limit of project benefit, where the equilibrium frequency of cooperators reaches its highest level. Above the critical point, an increase in the upper limit of project benefit inhibits cooperation. The evolution of cooperation is closely related to the preferred group-size distribution. A functional relation between the frequency of cooperators and the dominant group size is found.

      PubDate: 2017-05-26T14:12:52Z
  • Restricted fractional differential transform for solving irrational order
           fractional differential equations
    • Abstract: Publication date: August 2017
      Source:Chaos, Solitons & Fractals, Volume 101
      Author(s): Ayad R. Khudair, S.A.M. Haddad, Sanaa L. khalaf
      Arikoglu and Ozkol developed a new semi-analytical numerical technique, fractional differential transform method (FDTM), for solving fractional differential equations (FDEs). FDTM was not achieved for solving irrational order fractional differential equations. Here we develop a new method to be applicable for solving rational or irrational order FDEs. This method is called the restricted fractional differential transform method (RFDTM). In fact, RFDTM is based on the restriction of the classical two dimensional differential transform methods. A useful theorem is provided, and Several FDEs are solved by using RFDTM. Moreover, several illustrative examples are presented to demonstrate the accuracy and effectiveness of the proposed method.

      PubDate: 2017-05-26T14:12:52Z
  • Razumikhin method for impulsive functional differential equations of
           neutral type
    • Abstract: Publication date: August 2017
      Source:Chaos, Solitons & Fractals, Volume 101
      Author(s): Xiaodi Li, Feiqi Deng
      Although the well-known Razumikhin method has been well developed for the stability of functional differential equations with or without impulses and it is very useful in applications, so far there is almost no result of Razumikhin type on stability of impulsive functional differential equations of neutral type. The purpose of this paper is to close this gap and establish some Razumikhin-based stability results for impulsive functional differential equations of neutral type. A kind of auxiliary function N(t) that has great randomicity is introduced to Razumikhin condition. Some examples are given to show the effectiveness and advantages of the developed method.

      PubDate: 2017-05-21T13:25:07Z
  • Systematic evaluation of a new combinatorial curvature for complex
    • Abstract: Publication date: August 2017
      Source:Chaos, Solitons & Fractals, Volume 101
      Author(s): R.P. Sreejith, Jürgen Jost, Emil Saucan, Areejit Samal
      We have recently introduced Forman’s discretization of Ricci curvature to the realm of complex networks. Forman curvature is an edge-based measure whose mathematical definition elegantly encapsulates the weights of nodes and edges in a complex network. In this contribution, we perform a comparative analysis of Forman curvature with other edge-based measures such as edge betweenness, embeddedness and dispersion in diverse model and real networks. We find that Forman curvature in comparison to embeddedness or dispersion is a better indicator of the importance of an edge for the large-scale connectivity of complex networks. Based on the definition of the Forman curvature of edges, there are two natural ways to define the Forman curvature of nodes in a network. In this contribution, we also examine these two possible definitions of Forman curvature of nodes in diverse model and real networks. Based on our empirical analysis, we find that in practice the unnormalized definition of the Forman curvature of nodes with the choice of combinatorial node weights is a better indicator of the importance of nodes in complex networks.

      PubDate: 2017-05-21T13:25:07Z
  • Dynamics of an agent-based opinion model with complete social connectivity
    • Abstract: Publication date: August 2017
      Source:Chaos, Solitons & Fractals, Volume 101
      Author(s): Husin Alatas, Salamet Nurhimawan, Fikri Asmat, Hendradi Hardhienata
      In this report we discuss a simple agent based model for opinion dynamics where each of agent have complete social connectivity network with other agents. The state of an agent is described by three attributes. In our model, both the opinion level and attributes of an agent are affected by its social connectivity with other connected agents. We also introduce the notions of opinion and connectivity perception indices to characterize the intrinsic behavior of an agent that influence its connectivity with the corresponding connected neighbors. Shannon-like entropy is used to describe the dynamical characteristics of the developed model in terms of opinion level. The opinion dynamics in the presence of isolated and stubborn agents are also discussed. We found that the presence of stubborn agents demonstrate a remarkable phase-transition phenomenon on the corresponding opinion levels.

      PubDate: 2017-05-16T13:10:21Z
  • Rotation as a progenitor of various solitary waves in magnetized plasmas
    • Abstract: Publication date: August 2017
      Source:Chaos, Solitons & Fractals, Volume 101
      Author(s): G.C. Das
      The main interest is to study the nonlinear acoustic waves in rotating plasma augmented through the derivation of a modified Sagdeev potential equation. Small rotation approximation causes the interaction of Coriolis force in the dynamics, and leads to the complexity in the derivation of the nonlinear wave phenomena. Pseudopotential method has been used to derive the Sagdeev-like wave equation with a view to exhibit the changes in solitary wave propagation. Some special methods have been developed to exhibit the salient features of the nonlinear waves which could be of interest in laboratory as well as in astroplasmas. As a result, findings of the compressive and rarefactive solitons along with the formation of shock waves, double layers, sinh-wave in rotating plasma ought to be of merit. Moreover, studies have expected exciting observations in generating the high energies which, in turns, yields the phenomena of soliton radiation and explosions or bursting of the solitary waves. Further, to support the theoretical investigations, some typical plasma parameters have been taken for the graphical presentation of the waves.

      PubDate: 2017-05-16T13:10:21Z
  • Explicit formula for the valuation of catastrophe put option with
           exponential jump and default risk
    • Abstract: Publication date: August 2017
      Source:Chaos, Solitons & Fractals, Volume 101
      Author(s): Eunho Koo, Geonwoo Kim
      This paper concerns a catastrophe put option with default risk. Catastrophe events are described by the exponential jump model, and the default event of the option issuer is specified by the intensity based model with a stochastic intensity. Under this model, we derive the explicit analytical pricing formula of a catastrophe put option with default risk by using the multidimensional Girsanov theorem repeatedly. We also observe the effects of default risk on the prices of a catastrophe put option through the numerical experiment.

      PubDate: 2017-05-11T12:52:28Z
  • Equilibrium points and basins of convergence in the linear restricted
           four-body problem with angular velocity
    • Abstract: Publication date: August 2017
      Source:Chaos, Solitons & Fractals, Volume 101
      Author(s): Euaggelos E. Zotos
      The planar linear restricted four-body problem is used in order to determine the Newton–Raphson basins of convergence associated with the equilibrium points. The parametric variation of the position as well as of the stability of the libration points is monitored when the values of the mass parameter b as well as of the angular velocity ω vary in predefined intervals. The regions on the configuration (x, y) plane occupied by the basins of attraction are revealed using the multivariate version of the Newton–Raphson iterative scheme. The correlations between the attracting domains of the equilibrium points and the corresponding number of iterations needed for obtaining the desired accuracy are also illustrated. We perform a thorough and systematic numerical investigation by demonstrating how the parameters b and ω influence the shape, the geometry and of course the fractality of the converging regions. Our numerical outcomes strongly indicate that these two parameters are indeed two of the most influential factors in this dynamical system.

      PubDate: 2017-05-11T12:52:28Z
  • Modulation instability of broad optical beams in unbiased photorefractive
           pyroelectric crystals
    • Abstract: Publication date: August 2017
      Source:Chaos, Solitons & Fractals, Volume 101
      Author(s): Aavishkar Katti, R.A. Yadav
      We present a study of the one dimensional modulation instability due to a broad optical beam in pyroelectric photorefractive crystals where the space charge field is formed due to solely the pyrolectric effect. The one-dimensional growth rate of the modulation instability depends upon the intensity of the incident beam and the magnitude of the temperature change. Relevant example of a Strontium Barium Niobate crystal is taken to illustrate the theoretical analysis.

      PubDate: 2017-05-11T12:52:28Z
  • Hopf bifurcation analysis of two zooplankton-phytoplankton model with two
    • Abstract: Publication date: July 2017
      Source:Chaos, Solitons & Fractals, Volume 100
      Author(s): Renxiang Shi, Jiang Yu
      We take the delays due to gestation of two kinds of zooplankton as parameters, the dynamics of a two zooplankton-phytoplankton model is studied, we discussed the dynamics under six conditions: (1) τ 1 = τ 2 = 0 , (2) τ 1 > 0 , τ 2 = 0 , (3) τ 1 = 0 , τ 2 > 0 , (4) τ 1 = τ 2 > 0 , (5) τ 1 ∈ (0, τ 10), τ 2 > 0, (6) τ 2 ∈ (0, τ 20), τ 1 > 0, the Hopf bifurcation about condition (5) should be studied by center manifold theorem and normal form. At last, some simulations are given to support our results

      PubDate: 2017-05-07T12:37:39Z
  • Complex behavior of prey-predator system exhibiting group defense: A
           mathematical modeling study
    • Abstract: Publication date: July 2017
      Source:Chaos, Solitons & Fractals, Volume 100
      Author(s): S.N. Raw, P. Mishra, R. Kumar, S. Thakur
      Defense mechanisms are very important to all animal life. Predators in every biome must eat to survive. With predators being top on the food chain and always on the lookout for a meal, prey must constantly avoid being eaten. In this paper, we have proposed and analyzed a tri-trophic predator–prey model of one prey and two predator exhibiting group defense mechanism. We have assumed Monod-Haldane functional response for interaction between species due to group defense ability of prey and middle predator. We have performed Kolmogorov and Hopf bifurcation analysis for the model system. Linear and global stability of the model system have been analyzed. Lyapunov exponents are computed numerically and 2D scan for different parameters of the model have performed to characterize the complex behavior of the model system. The numerical simulations shows the chaotic and periodic oscillations of the model system for certain range of parameter. We have drawn bifurcation diagrams for different parameter values which shows the complex dynamical behavior of model system. This work is an attempt to study the effect of group defense mechanism of prey in predator population and effect of immigration within top predator population is investigated. It is also observed that in the presence of group defense, the model system stabilizes after adding a small amount of constant immigration within top predator population.

      PubDate: 2017-05-07T12:37:39Z
  • All optical AND and OR gate with excitable cavity soliton
    • Abstract: Publication date: July 2017
      Source:Chaos, Solitons & Fractals, Volume 100
      Author(s): H. Vahed, Z. Salehnezhad
      Cavity solitons (CSs) have an important role as information bits in all optical information processing. In this paper, we switched on a new type of CS as excitable cavity soliton in the cavity soliton laser (CSL). Also, we compared the behavior of excitable CS with self-pulsing and stable CSs by using of suitable values for system parameters and then we designed logical gates (AND, OR) with excitable CSs in the CSL. The capabilities of excitable CSs has been studied to improve possibilities for designing of all optical gates.

      PubDate: 2017-05-07T12:37:39Z
  • Influence of a nonlinear coupling on the supratransmission effect in
           modified sine-Gordon and Klein–Gordon lattices
    • Abstract: Publication date: July 2017
      Source:Chaos, Solitons & Fractals, Volume 100
      Author(s): R. Alima, S. Morfu, P. Marquié, B. Bodo, B.Z. Essimbi
      In this paper, we analyze the conditions leading to the nonlinear supratransmission phenomenon in two different models: a modified fifth order Klein–Gordon system and a modified sine-Gordon system. The modified models considered here are those with mixed coupling, the pure linear coupling being associated with a nonlinear coupling. Especially, we numerically quantify the influence of the nonlinear coupling coefficient on the threshold amplitude which triggers the nonlinear supratransmission phenomenon. Our main result shows that, in both models, when the nonlinear coupling coefficient increases, the threshold amplitude triggering the nonlinear supratransmission phenomenon decreases.

      PubDate: 2017-05-07T12:37:39Z
  • Synchronization of uncertain chaotic systems via
           complete-adaptive-impulsive controls
    • Abstract: Publication date: July 2017
      Source:Chaos, Solitons & Fractals, Volume 100
      Author(s): Xian-Feng Li, Yan-Dong Chu, Andrew Y.T. Leung, Hui Zhang
      The paper presents a novel synchronization scheme for uncertain chaotic systems via complete-adaptive-impulsive controls. The controllers are designed in the form of linear-error feedback coupling, but the control gains are completely adaptive. More details on minimizing interaction terms and accelerating synchronization process are revealed. The interaction terms can be selected on the largest invariant set minimally, but would be optimized corroboratively to promote the stabilization. The analytic expressions of parameter update laws for identifying uncertain parameters are derived from a reasonable truncation directly. A representative chaotic system is employed to show that the present scheme is not only a tactful way of synchronizing chaotic systems with uncertainties imposed on nonlinear terms, but a more radical approach on achieving synchronization with relatively moderate control gains than existed methods.

      PubDate: 2017-05-01T12:08:50Z
  • New bifurcation results for fractional BAM neural network with leakage
    • Abstract: Publication date: July 2017
      Source:Chaos, Solitons & Fractals, Volume 100
      Author(s): Chengdai Huang, Yijie Meng, Jinde Cao, Ahmed Alsaedi, Fuad E. Alsaadi
      Recently, the dynamics of the fractional delayed neural networks has been considerably concerned. It is illustrated that time delay has a remarkable influence on the dynamical behaviors of the fractional neural networks. Nevertheless, the results of the fractional neural network with leakage delay are extremely few. It is the first time that the stability and bifurcation of fractional BAM neural networks with time delay in leakage terms is examined in the current paper. The stability criterion and the conditions of bifurcation are obtained for the proposed systems with or without leakage delay by selecting time delay as the bifurcation parameter. It is amazing that the leakage delay has a destabilizing influence on the stability performance of such system and they cannot be ignored. Moreover, the relation between the bifurcation point and the order is fully discussed by careful calculation. Finally, numerical examples are addressed to verify the feasibility of the obtained theoretical results.

      PubDate: 2017-05-01T12:08:50Z
  • An effective approach to numerical soliton solutions for the Schrödinger
           equation via modified cubic B-spline differential quadrature method
    • Abstract: Publication date: July 2017
      Source:Chaos, Solitons & Fractals, Volume 100
      Author(s): Ali Bashan, Nuri Murat Yagmurlu, Yusuf Ucar, Alaattin Esen
      In this study, an effective differential quadrature method (DQM) which is based on modified cubic B-spline (MCB) has been implemented to obtain the numerical solutions for the nonlinear Schrödinger (NLS) equation. After separating the Schrödinger equation into coupled real value differential equations,we have discretized using DQM and then obtained ordinary differential equation systems. For time integration, low storage strong stability-preserving Runge–Kutta method has been used. Numerical solutions of five different test problems have been obtained. The efficiency and accuracy of the method have been measured by calculating error norms L2 and Linfinity and two lowest invariants I1 and I2. Also relative changes of invariants are given. The newly obtained numerical results have been compared with the published numerical results and a comparison has shown that the MCB-DQM is an effective numerical scheme to solve the nonlinear Schrödinger equation.

      PubDate: 2017-05-01T12:08:50Z
  • Chaos time-series prediction based on an improved recursive
           Levenberg–Marquardt algorithm
    • Abstract: Publication date: July 2017
      Source:Chaos, Solitons & Fractals, Volume 100
      Author(s): Xiancheng Shi, Yucheng Feng, Jinsong Zeng, Kefu Chen
      An improved recursive Levenberg–Marquardt algorithm (RLM) is proposed to more efficiently train neural networks. The error criterion of the RLM algorithm was modified to reduce the impact of the forgetting factor on the convergence of the algorithm. The remedy to apply the matrix inversion lemma in the RLM algorithm was extended from one row to multiple rows to improve the success rate of the convergence; after that, the adjustment strategy was modified based on the extended remedy. Finally, the performance of this algorithm was tested on two chaotic systems. The results show improved convergence.

      PubDate: 2017-05-01T12:08:50Z
  • Lie symmetries, symmetry reductions and conservation laws of time
           fractional modified Korteweg–de Vries (mkdv) equation
    • Abstract: Publication date: July 2017
      Source:Chaos, Solitons & Fractals, Volume 100
      Author(s): Arzu Akbulut, Filiz Taşcan
      In this work, we study Lie symmetry analysis for fractional order differential equations that is one of the applications of symmetries. This study deals with Lie symmetry of fractional order modified Korteweg–de Vries (mKdV) equation. We found Lie symmetries of this equation and then we reduced fractional order modified Korteweg–de Vries (mKdV) equation to fractional order ordinary differential equation with Erdelyi–Kober fractional differential operator. Then we used characteristic method for fractional order differential equations and help of founded these Lie symmetries for finding solutions for given equation. Then we obtained infinite and finite conservation laws of fractional order modified Korteweg–de Vries (mKdV) equation.

      PubDate: 2017-04-24T11:38:07Z
  • Cumulative effects of incorrect use of pesticides can lead to catastrophic
           outbreaks of pests
    • Abstract: Publication date: July 2017
      Source:Chaos, Solitons & Fractals, Volume 100
      Author(s): Xia Wang, Zihui Xu, Sanyi Tang, Robert A. Cheke
      Modeling external perturbations such as chemical control within each generation of discrete populations is challenging. Based on a method proposed in the literature, we have extended a discrete single species model with multiple instantaneous pesticide applications within each generation, and then discuss the existence and stability of the unique positive equilibrium. Further, the effects of the timing of pesticide applications and the instantaneous killing rate on the equilibrium were investigated in more detail and we obtained some interesting results, including a paradox and the cumulative effects of the incorrect use of pesticides on pest outbreaks. In order to show the occurrences of the paradox and of hormesis, several special models have been extended and studied. Further, the biological implications of the main results regarding successful pest control are discussed. All of the results obtained confirm that the cumulative effects of incorrect use of pesticides may result in more severe pest outbreaks and thus, in order to avoid a paradox in pest control, control strategies need to be designed with care, including decisions on the timing and number of pesticide applications in relation to the effectiveness of the pesticide being used.

      PubDate: 2017-04-24T11:38:07Z
  • Heterogeneous preference selection promotes cooperation in spatial
           prisoners’ dilemma game
    • Abstract: Publication date: July 2017
      Source:Chaos, Solitons & Fractals, Volume 100
      Author(s): Zhenghong Deng, Shengnan Wang, Zhiyang Gu, Juwei Xu, Qun Song
      Adopting the strategy of neighbor who performs better is crucial for the evolution of cooperation in evolutionary games, in that such an action may help you get higher benefit and even evolutionary advantages. Inspired by this idea, here we introduce a parameter α to control the selection of preferred opponents between the most successful neighbor and one random neighbor. For α equaling to zero, it turns to the traditional case of random selection, while positive α favors the player that has high popularity. Besides, considering heterogeneity as one important factor of cooperation promotion, in this work, the population is divided into two types. Players of type A, whose proportion is v, select opponent depending on the parameter α, while players of type B, whose proportion is 1 − v , select opponent randomly. Through numerous computing simulations, we find that popularity-driven heterogeneous preference selection can truly promote cooperation, which can be attributed to the leading role of cooperators with type A. These players can attract cooperators of type B forming compact clusters, and thus lead to a more beneficial situation for resisting the invasion of defectors.

      PubDate: 2017-04-24T11:38:07Z
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