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  Subjects -> MATHEMATICS (Total: 864 journals)
    - APPLIED MATHEMATICS (69 journals)
    - GEOMETRY AND TOPOLOGY (19 journals)
    - MATHEMATICS (642 journals)
    - MATHEMATICS (GENERAL) (40 journals)
    - NUMERICAL ANALYSIS (19 journals)
    - PROBABILITIES AND MATH STATISTICS (75 journals)

MATHEMATICS (642 journals)                  1 2 3 4 | Last

Showing 1 - 200 of 538 Journals sorted alphabetically
Abakós     Open Access   (Followers: 4)
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: 6)
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: 10)
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: 9)
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: 3)
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: 2)
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 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: 17)
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: 19)
Bruno Pini Mathematical Analysis Seminar     Open Access  
Buletinul Academiei de Stiinte a Republicii Moldova. Matematica     Open Access   (Followers: 6)
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: 2)
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: 18)
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: 1)
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: 12)
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: 11)
Demonstratio Mathematica     Open Access  
Dependence Modeling     Open Access  
Design Journal : An International Journal for All Aspects of Design     Hybrid Journal   (Followers: 28)
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: 4)
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)
Foundations and Trends® in Networking     Full-text available via subscription   (Followers: 1)

        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  [3030 journals]
  • 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
       
  • Application of rotational spectrum for correlation dimension estimation
    • Abstract: Publication date: June 2017
      Source:Chaos, Solitons & Fractals, Volume 99
      Author(s): Martin Dlask, Jaromir Kukal
      Correlation dimension is one of the many types of fractal dimension. It is usually estimated from a finite number of points from a fractal set using correlation sum and regression in a log-log plot. However, this traditional approach requires a large amount of data and often leads to a biased estimate. The novel approach proposed here can be used for the estimation of the correlation dimension in a frequency domain using the power spectrum of the investigated fractal set. This work presents a new spectral characteristic called “rotational spectrum” and shows its properties in relation to the correlation dimension. The theoretical results can be directly applied to uniformly distributed samples from a given point set. The efficiency of the proposed method was tested on sets with a known correlation dimension using Monte Carlo simulation. The simulation results showed that this method can provide an unbiased estimation for many types of fractal sets.

      PubDate: 2017-04-24T11:38:07Z
       
  • Morphisms on infinite alphabets, countable states automata and regular
           sequences
    • Abstract: Publication date: June 2017
      Source:Chaos, Solitons & Fractals, Volume 99
      Author(s): Jie-Meng Zhang, Jin Chen, Ying-Jun Guo, Zhi-Xiong Wen
      In this paper, we prove that a class of regular sequences can be viewed as projections of fixed points of uniform morphisms on a countable alphabet, and also can be generated by countable states automata. Moreover, we prove that the regularity of some regular sequences is invariant under some codings.

      PubDate: 2017-04-24T11:38:07Z
       
  • Subharmonic bifurcations and chaotic motions for a class of inverted
           pendulum system
    • Abstract: Publication date: June 2017
      Source:Chaos, Solitons & Fractals, Volume 99
      Author(s): Liangqiang Zhou, Shanshan Liu, Fangqi Chen
      Using both analytical and numerical methods, global dynamics including subharmonic bifurcations and chaotic motions for a class of inverted pendulum system are investigated in this paper. The expressions of the heteroclinic orbits and periodic orbits are obtained analytically. Chaos arising from heteroclinic intersections is studied with the Melnikov method. The critical curves separating the chaotic and non-chaotic regions are obtained. The conditions for subharmonic bifurcations are also obtained. It is proved that the system can be chaotically excited through finite subharmonic bifurcations. Some new dynamical phenomena are presented. Numerical simulations are given, which verify the analytical results.

      PubDate: 2017-04-24T11:38:07Z
       
  • Evaluation of the impact of higher-order energy enhancement
           
    • Abstract: Publication date: June 2017
      Source:Chaos, Solitons & Fractals, Volume 99
      Author(s): Francisco J. Diaz-Otero, Omar Guillán-Lorenzo, Laura Pedrosa-Rodríguez
      We study the propagation properties of nonlinear pulses with periodic evolution in a dispersion-managed transmission link by means of a variational approach. We fit the energy enhancement required for stable propagation of a single soliton in a prototypical commercial link to a polynomial approximation that describes the dependence of the energy on the map strength of the normalized unit cell. We present an improvement of a relatively old and essential result, namely, the dependence of the energy-enhancement factor of dispersion-management solitons with the square of the map strength of the fiber link. We find that adding additional corrections to the conventional quadratic formula up to the fourth order results in an improvement in the accuracy of the description of the numerical results obtained with the variational approximation. Even a small error in the energy is found to introduce large deviations in the pulse parameters during its evolution. The error in the evaluation of the interaction distance between two adjacent time division multiplexed pulses propagating in the same channel in a prototypical submarine link is of the same order as the error in the energy.

      PubDate: 2017-04-24T11:38:07Z
       
  • New aspects of the adaptive synchronization and hyperchaos suppression of
           a financial model
    • Abstract: Publication date: June 2017
      Source:Chaos, Solitons & Fractals, Volume 99
      Author(s): Amin Jajarmi, Mojtaba Hajipour, Dumitru Baleanu
      This paper mainly focuses on the analysis of a hyperchaotic financial system as well as its chaos control and synchronization. The phase diagrams of the above system are plotted and its dynamical behaviours like equilibrium points, stability, hyperchaotic attractors and Lyapunov exponents are investigated. In order to control the hyperchaos, an efficient optimal controller based on the Pontryagin’s maximum principle is designed and an adaptive controller established by the Lyapunov stability theory is also implemented. Furthermore, two identical financial models are globally synchronized by using an interesting adaptive control scheme. Finally, a fractional economic model is introduced which can also generate hyperchaotic attractors. In this case, a linear state feedback controller together with an active control technique are used in order to control the hyperchaos and realize the synchronization, respectively. Numerical simulations verifying the theoretical analysis are included.

      PubDate: 2017-04-24T11:38:07Z
       
  • A chemotherapy combined with an anti-angiogenic drug applied to a cancer
           model including angiogenesis
    • Abstract: Publication date: June 2017
      Source:Chaos, Solitons & Fractals, Volume 99
      Author(s): Christophe Letellier, Sourav Kumar Sasmal, Clément Draghi, Fabrice Denis, Dibakar Ghosh
      Combined therapy made of a chemotherapy and antiangiogenic agents is a clinical treatment recommended for its efficiency. Since the optimization of a treatment against cancer relasp is still mostly based on oncologist’s know-how, it is desirable to develop different approaches for such a task. Mathematical modelling is one of the promising ways. We here investigated the action of a combined therapy inserted to a mathematical cancer model in order to determine how the dynamics underlying tumor growth is governed by some key parameters. We here retained a chemotherapy (for instance, paclitaxel and carboplatin) combined with an antiangiogenic drug (as bevacizumab) applied to a cancer model describing the interactions between host, immune, tumor and endothelial cells. The effects of such a therapy are investigated and the relevant role played by the “normal” tissue of the tumor micro-environment is evidenced.

      PubDate: 2017-04-24T11:38:07Z
       
  • Nonlinear embeddings: Applications to analysis, fractals and polynomial
           root finding
    • Abstract: Publication date: June 2017
      Source:Chaos, Solitons & Fractals, Volume 99
      Author(s): Vladimir García-Morales
      We introduce B κ -embeddings, nonlinear mathematical structures that connect, through smooth paths parameterized by κ, a finite or denumerable set of objects at κ = 0 (e.g. numbers, functions, vectors, coefficients of a generating function...) to their ordinary sum at κ → ∞. We show that B κ -embeddings can be used to design nonlinear irreversible processes through this connection. A number of examples of increasing complexity are worked out to illustrate the possibilities uncovered by this concept. These include not only smooth functions but also fractals on the real line and on the complex plane. As an application, we use B κ -embeddings to formulate a robust method for finding all roots of a univariate polynomial without factorizing or deflating the polynomial. We illustrate this method by finding all roots of a polynomial of 19th degree.

      PubDate: 2017-04-24T11:38:07Z
       
  • Analytical determination of bifurcations of periodic solution in
           three-degree-of-freedom vibro-impact systems with clearance
    • Abstract: Publication date: June 2017
      Source:Chaos, Solitons & Fractals, Volume 99
      Author(s): Yongbao Liu, Qiang Wang, Huidong Xu
      The smooth bifurcation and non-smooth grazing bifurcation of periodic solution of three-degree-of-freedom vibro-impact systems with clearance are studied in this paper. Firstly, six-dimensional Poincaré maps are established through choosing suitable Poincaré section and solving periodic solutions of vibro-impact system. Then, as the analytic expressions of all eigenvalues of Jacobi matrix of six-dimensional map are unavailable, the numerical calculations to search for the critical bifurcation values point by point is a laborious job based on the classical critical criterion described by the properties of eigenvalues. To overcome the difficulty from the classical bifurcation criteria, the explicit critical criterion without using eigenvalues calculation of high-dimensional map is applied to determine bifurcation points of Co-dimension-one bifurcations and Co-dimension-two bifurcations, and then local dynamical behaviors of these bifurcations are further analyzed. Finally, the existence of the grazing periodic solution of the vibro-impact system and grazing bifurcation point are analyzed, the discontinuous grazing bifurcation behavior is studied based on the compound normal form map near the grazing point, the discontinuous jumping phenomenon and the co-existing multiple solutions near the grazing bifurcation point are revealed.

      PubDate: 2017-04-17T13:27:35Z
       
  • Lyapunov exponents and poles in a non Hermitian dynamics
    • Abstract: Publication date: June 2017
      Source:Chaos, Solitons & Fractals, Volume 99
      Author(s): Ignacio S. Gomez
      By means of expressing volumes in phase space in terms of traces of quantum operators, a relationship between the poles of the scattering matrix and the Lyapunov exponents in a non Hermitian quantum dynamics, is presented. We illustrate the formalism by characterizing the behavior of the Gamow model whose dissipative decay time, measured by its decoherence time, is found to be inversely proportional to the Lyapunov exponents of the unstable periodic orbits. The results are in agreement with those obtained by means of the semiclassical periodic–orbit approach in quantum resonances theory but using a simpler mathematics.

      PubDate: 2017-04-17T13:27:35Z
       
  • On the generation of spiral and scroll waves by periodic stimulation of
           excitable media in the presence of obstacles of minimum size
    • Abstract: Publication date: June 2017
      Source:Chaos, Solitons & Fractals, Volume 99
      Author(s): Daniel Olmos-Liceaga, Humberto Ocejo-Monge
      In this work we consider the periodic stimulation of two and three dimensional excitable media in the presence of obstacles with an emphasis on cardiac dynamics. We focus our attention in the understanding of the minimum size obstacles that allow generation of spiral and scroll waves, and describe different mechanisms that lead to the formation of such waves. The present study might be helpful in understanding and controlling the appearance of spiral and scroll waves in the medium.

      PubDate: 2017-04-17T13:27:35Z
       
  • Numerical approximation of nonlinear fractional parabolic differential
           equations with Caputo–Fabrizio derivative in Riemann–Liouville sense
    • Abstract: Publication date: June 2017
      Source:Chaos, Solitons & Fractals, Volume 99
      Author(s): Kolade M. Owolabi, Abdon Atangana
      This paper considers the Caputo–Fabrizio derivative in Riemann–Liouville sense for the spatial discretization fractional derivative. We formulate two notable exponential time differencing schemes based on the Adams–Bashforth and the Runge–Kutta methods to advance the fractional derivatives in time. Our approach is tested on a number of fractional parabolic differential equations that are of current and recurring interest, and which cover pitfalls and address points and queries that may naturally arise. The effectiveness and suitability of the proposed techniques are justified via numerical experiments in one and higher dimensions.

      PubDate: 2017-04-17T13:27:35Z
       
  • Multibreathers-impurity interactions in the discrete nonlinear
           Schrödinger model
    • Abstract: Publication date: June 2017
      Source:Chaos, Solitons & Fractals, Volume 99
      Author(s): J.D. Tchinang Tchameu, A.B. Togueu Motcheyo, C. Tchawoua
      We report numerical observations of scattering process of moving multibreathers by isolated impurities in the discrete nonlinear Schrödinger lattice representing the vibrational energy transport along the protein chain. It is found that, except for the multibreather passing, internal collision phenomenon support all types of scattering outcomes for both attractive and repulsive impurities. Furthermore, for large strength of attractive impurity the scattering of two-hump soliton can give rise to a trapping on a site other than the one containing the impurity. As concerns three-hump soliton, the passing, trapping and reflection are simultaneously carried out for some parameters. In the case of three-hump soliton introduced between two repulsive impurity sites, back and forth are observed as well as increasingly individualistic behavior of humps over time. Nonetheless, two-hump soliton launched under the same conditions results in large stationary single breather.

      PubDate: 2017-04-17T13:27:35Z
       
  • Effects of biotic interactions and dispersal on the presence-absence of
           multiple species
    • Abstract: Publication date: June 2017
      Source:Chaos, Solitons & Fractals, Volume 99
      Author(s): Mohd Hafiz Mohd, Rua Murray, Michael J. Plank, William Godsoe
      One of the important issues in ecology is to predict which species will be present (or absent) across a geographical region. Dispersal is thought to have an important influence on the range limits of species, and understanding this problem in a multi-species community with priority effects (i.e. initial abundances determine species presence-absence) is a challenging task because dispersal also interacts with biotic and abiotic factors. Here, we propose a simple multi-species model to investigate the joint effects of biotic interactions and dispersal on species presence-absence. Our results show that dispersal can substantially expand species ranges when biotic and abiotic forces are present; consequently, coexistence of multiple species is possible. The model also exhibits ecologically interesting priority effects, mediated by intense biotic interactions. In the absence of dispersal, competitive exclusion of all but one species occurs. We find that dispersal reduces competitive exclusion effects that occur in no-dispersal case and promotes coexistence of multiple species. These results also show that priority effects are still prevalent in multi-species communities in the presence of dispersal process. We also illustrate the existence of threshold values of competitive strength (i.e. transcritical bifurcations), which results in different species presence-absence in multi-species communities with and without dispersal.

      PubDate: 2017-04-17T13:27:35Z
       
  • Synchronization of bursting neurons with a slowly varying d. c. current
    • Abstract: Publication date: June 2017
      Source:Chaos, Solitons & Fractals, Volume 99
      Author(s): Ranjit Kumar Upadhyay, Argha Mondal
      Bursting of neuronal firing is an interesting dynamical consequences depending on fast/slow dynamics. Certain cells in different brain regions produce spike-burst activity. We study such firing activity and its transitions to synchronization using identical as well as non-identical coupled bursting Morris-Lecar (M-L) neurons. Synchronization of different firing activity is a multi-time-scale phenomenon and burst synchronization presents the precursor to spike synchronization. Chemical synapses are one of the dynamical means of information processing between neurons. Electrical synapses play a major role for synchronous activity in a certain network of neurons. Synaptically coupled neural cells exhibit different types of synchronization such as in phase or anti-phase depending on the nature and strength of coupling functions and the synchronization regimes are analyzed by similarity functions. The sequential transitions to synchronization regime are examined by the maximum transverse Lyapunov exponents. Synchronization of voltage traces of two types of planar bursting mechanisms is explored for both kind of synapses under realistic conditions. The noisy influence effects on the transmission of signals and strongly acts to the firing activity (such as periodic firing and bursting) and integration of signals for a network. It has been examined using the mean interspike interval analysis. The transition to synchronization states of coupled and a network of bursting neurons may be useful for further research in information processing and even the origins of certain neurological disorders.

      PubDate: 2017-04-17T13:27:35Z
       
  • A chaotic system with an infinite number of equilibrium points located on
           a line and on a hyperbola and its fractional-order form
    • Abstract: Publication date: June 2017
      Source:Chaos, Solitons & Fractals, Volume 99
      Author(s): Sifeu Takougang Kingni, Viet-Thanh Pham, Sajad Jafari, Paul Woafo
      A three-dimensional autonomous chaotic system with an infinite number of equilibrium points located on a line and a hyperbola is proposed in this paper. To analyze the dynamical behaviors of the proposed system, mathematical tools such as Routh-Hurwitz criteria, Lyapunov exponents and bifurcation diagram are exploited. For a suitable choice of the parameters, the proposed system can generate periodic oscillations and chaotic attractors of different shapes such as bistable and monostable chaotic attractors. In addition, an electronic circuit is designed and implemented to verify the feasibility of the proposed system. A good qualitative agreement is shown between the numerical simulations and the Orcard-PSpice results. Moreover, the fractional-order form of the proposed system is studied using analog and numerical simulations. It is found that chaos, periodic oscillations and periodic spiking exist in this proposed system with order less than three. Then an electronic circuit is designed for the commensurate fractional order α = 0.98, from which we can observe that a chaotic attractor exists in the fractional-order form of the proposed system. Finally, the problem of drive-response generalized projective synchronization of the fractional-order form of the chaotic proposed autonomous system is considered.

      PubDate: 2017-04-17T13:27:35Z
       
  • Mode selection in electrical activities of myocardial cell exposed to
           electromagnetic radiation
    • Abstract: Publication date: June 2017
      Source:Chaos, Solitons & Fractals, Volume 99
      Author(s): Jun Ma, Ya Wang, Chunni Wang, Ying Xu, Guodong Ren
      Based on the Fitzhugh–Nagumo neuron model, the effect of electromagnetic induction is considered and external electromagnetic radiation is imposed to detect the mode transition of electrical activities in a myocardial cell. Appropriate dynamical and functional responses can be observed in the sampled series for membrane potentials by setting different feedback modulation on the membrane potential in presence of electromagnetic radiation. The electromagnetic radiation is described by a periodical forcing on the magnetic flux, and it is found that the response frequency can keep pace with the frequency of external forcing. However, mismatch of frequency occurs by further increasing the frequency of external forcing, it could account for the information encoding of neuron. The dynamical response could be associated with the magnetization and polarization of the media, thus the outputs of membrane potential can become quiescent and/or bursting as well.

      PubDate: 2017-04-17T13:27:35Z
       
  • Existence of positive solution for a cross-diffusion predator-prey system
           with Holling type-II functional response
    • Abstract: Publication date: June 2017
      Source:Chaos, Solitons & Fractals, Volume 99
      Author(s): Chenglin Li
      This paper is purported to investigate a cross-diffusion system arising in a predator-prey population model including Holling type-II functional response in a bounded domain with Dirichlet boundary condition. The asymptotical stabilities are investigated to this system by using the method of eigenvalue. Moreover, the existence of positive steady states are considered by using fixed points index theory, bifurcation theory, energy estimates and the differential method of implicit function.

      PubDate: 2017-04-17T13:27:35Z
       
  • A novel solution of fractional order heat equation for photothermal waves
           in a semiconductor medium with a spherical cavity
    • Abstract: Publication date: June 2017
      Source:Chaos, Solitons & Fractals, Volume 99
      Author(s): Kh. Lotfy
      In this paper, we consider a one dimensional problem of waves in a thermoelastic infinite medium with a spherical cavity. We are concerned with the study a new model of fractional order heat conduction law for a spherical cavity of a semiconductor medium. The governing equations are solved under the effect of the theory of coupled plasma, elastic, thermal waves through a photothermal process. The inner surface of the cavity is taken traction free with thermal shock. Time-dependence is removed by Laplace transform technique to governing equations. This method has been used to get the exact expression of some physical quantities, thermal activation coupling parameters and illustrated graphically.

      PubDate: 2017-04-17T13:27:35Z
       
  • Combined effect of upstream surge chamber and sloping ceiling tailrace
           tunnel on dynamic performance of turbine regulating system of
           hydroelectric power plant
    • Abstract: Publication date: June 2017
      Source:Chaos, Solitons & Fractals, Volume 99
      Author(s): Wencheng Guo, Jiandong Yang
      Based on the nonlinear mathematical model of the turbine regulating system of hydroelectric power plant with upstream surge chamber and sloping ceiling tailrace tunnel and the Hopf bifurcation theory, this paper firstly studies the dynamic performance of the turbine regulating system under 0.5 times Thoma sectional area of surge chamber, and reveals a novel dynamic performance. Then, the relationship between the two bifurcation lines and the wave superposition of upstream surge chamber and sloping ceiling tailrace tunnel is analyzed. Finally, the effect mechanisms of the wave superposition on the system stability are investigated, and the methods to improve the system stability are proposed. The results indicate that: Under the combined effect of upstream surge chamber and sloping ceiling tailrace tunnel, the dynamic performance of the turbine regulating system of hydroelectric power plant shows an obvious difference on the two sides of the critical sectional area of surge chamber. There are two bifurcation lines for the condition of 0.5 times Thoma sectional area, i.e. Bifurcation line 1 and Bifurcation line 2, which represent the stability characteristics of the flow oscillation of “penstock-sloping ceiling tailrace tunnel” and the water-level fluctuation in upstream surge chamber, respectively. The stable domain of the system is determined by Bifurcation line 2. The effect of upstream surge chamber mainly depends on its sectional area, while the effect of the sloping ceiling tailrace tunnel mainly depends on the sectional area of surge chamber, type of load disturbance and ceiling slope angle. When the stable domain is determined by Bifurcation line 1, the combined effect of upstream surge chamber and sloping ceiling tailrace tunnel on stability equals to the linear superposition of their own effects play alone. When the stable domain is determined by Bifurcation line 2, the only way to improve the system stability is to increase the sectional area of upstream surge chamber.

      PubDate: 2017-04-17T13:27:35Z
       
  • Complex dynamics of a bistable electrically charged microcantilever:
           Transition from single well to cross well oscillations
    • Abstract: Publication date: June 2017
      Source:Chaos, Solitons & Fractals, Volume 99
      Author(s): Grzegorz Litak, Gabriel Abadal, Andrzej Rysak, Hubert Przywara
      We study dynamics of a micro-electro-mechanical system designed for energy harvesting. We explore bistability using an electrostatic system which is based on the repulsive interaction between two electrets. The system is composed of two micro cantilever beams locally charged in both tip free ends. Transition from a single potential well oscillations to cross-well motion is analysed. In particular, we analyse the effect of asymmetry in the potential wells and an escape phenomenon from the wells by using the Melnikov approach. The results were confirmed by numerical simulations.

      PubDate: 2017-04-10T12:58:02Z
       
  • Long-time behavior of solutions and chaos in reaction-diffusion equations
    • Abstract: Publication date: June 2017
      Source:Chaos, Solitons & Fractals, Volume 99
      Author(s): Kamal N. Soltanov, Anatolij K. Prykarpatski, Denis Blackmore
      It is shown that members of a class (of current interest with many applications) of non-dissipative reaction-diffusion partial differential equations with local nonlinearity can have an infinite number of different unstable solutions traveling along an axis of the space variable with varying speeds, traveling impulses and also an infinite number of different states of spatio-temporal (diffusion) chaos. These solutions are generated by cascades of bifurcations governed by the corresponding steady states. The behavior of these solutions is analyzed in detail and, as an example, it is explained how space-time chaos can arise. Results of the same type are also obtained in the case of a nonlocal nonlinearity.

      PubDate: 2017-04-10T12:58:02Z
       
  • Metal-insulator transition in a disordered nanotube
    • Abstract: Publication date: June 2017
      Source:Chaos, Solitons & Fractals, Volume 99
      Author(s): S. Behnia, J. Ziaei
      According to the Anderson localization theory, the wavefunctions of a sufficiently strong disordered system are localized. We show that shifting hopping energy between nearest neighbors would induce an anomalous localization-delocalization transition in a disordered square lattice nanotube modelled by tight-binding. For this purpose, the consecutive level spacing statistics and the singularity spectrum analyses were performed. The quantum analysis of singularity spectrum reveals distinctive multifractality structures of the wavefunctions associated with localized and delocalized phases. We find that while in finite-size limit the system has a sudden metal-insulator transition, in large-scale limit the system experiences a rapid but continuous crossover. Interestingly, we report a critical value of hopping energy for which the system behavior is fairly close to metallic phase and especially independent of the system size. Passing this critical value, a great difference in the electronic transport properties of the system occurs. It follows that in the large-scale size, the system tends to follow semi-metallic behavior, while in finite size behaves more like to an insulator. The localization-delocalization transition is also reflected in the electrical current. In accordance with the indicators studied, we find that in delocalized regime there is a spreading electrical current throughout the whole system with an azimuthal symmetric characteristic.

      PubDate: 2017-04-10T12:58:02Z
       
  • Analysis of an El Nino-Southern Oscillation model with a new fractional
           derivative
    • Abstract: Publication date: June 2017
      Source:Chaos, Solitons & Fractals, Volume 99
      Author(s): Jagdev Singh, Devendra Kumar, Juan J. Nieto
      In this article, we analyze the El Nino–Southern Oscillation (ENSO) model in the global climate with a new fractional derivative recently proposed by Caputo and Fabrizio. We obtain the solution by using the iterative method. By using the fixed-point theorem the existence of the solution is discussed. A deeply analysis of the uniqueness of the solution is also discussed. And to observe the effect of the fractional order we presented some numerical simulations.

      PubDate: 2017-04-10T12:58:02Z
       
  • Feigenbaum's constants in reverse bifurcation of fractional-order
           Rössler system
    • Abstract: Publication date: June 2017
      Source:Chaos, Solitons & Fractals, Volume 99
      Author(s): Zengshan Li, Diyi Chen, Mengmeng Ma, Xinguang Zhang, Yonghong Wu
      This paper demonstrates the existence of Feigenbaum's constants in reverse bifurcation for fractional-order Rössler system. First, the numerical algorithm of fractional-order Rössler system is presented. Then, the definition of Feigenbaum's constants in reverse bifurcation is provided. Third, in order to observe the effect of fractional-order to Feigenbaum's constants in reverse bifurcation, a series of bifurcation diagrams are computed. The Feigenbaum's constants in reverse bifurcation are measured and the error percentage in fractional-order Rössler system is presented. The simulation results show that Feigenbaum's constants exist in reverse bifurcation for fractional-order Rössler system. Especially, the Feigenbaum's constants still exist in the periodic windows. A summary on previous others’ works about Feigenbaum's constants is proposed. This paper draw a conclusion that the constants are universal in both period-doubling bifurcation and reverse bifurcation for both integer and fractional-order system.

      PubDate: 2017-04-10T12:58:02Z
       
  • Dynamics of virus infection model with nonlytic immune response induced by
           stochastic noise
    • Abstract: Publication date: June 2017
      Source:Chaos, Solitons & Fractals, Volume 99
      Author(s): Dongxi Li, Xiaowei Cui
      In this paper, we study the effect of stochastic noise on the virus infection model with nonlytic immune response. Firstly, the mathematical model describing the virus infection with nonlytic immune response is presented. The basic reproduction number is derived and the stability of disease-free state E 0 and disease state E 1 are analysed. Then the threshold conditions for extinction and persistence of the virus are derived by the rigorous theoretical proofs. It is found that when the noise is large enough, the virus will die out without constraint. When the noise is small, the virus will become extinct under the condition R 0 * < 1 and persistence under R 0 * * > 1 . Besides, the upper bound and lower bound for persistence have been given. At last, some numerical simulations are carried out to support our results. The conclusion of this paper could help provide the theoretical basis for the further study of the virus infection.

      PubDate: 2017-04-10T12:58:02Z
       
  • Homoclinic chaos in coupled SQUIDs
    • Abstract: Publication date: June 2017
      Source:Chaos, Solitons & Fractals, Volume 99
      Author(s): M. Agaoglou, V.M. Rothos, H. Susanto
      An rf superconducting quantum interference device (SQUID) consists of a superconducting ring interrupted by a Josephson junction (JJ). The induced supercurrents around the ring are determined by the JJ through the celebrated Josephson relations. We study the dynamics of a pair of parametrically-driven coupled SQUIDs lying on the same plane with their axes in parallel. The drive is through the alternating critical current of the JJs. This system exhibits rich nonlinear behavior, including chaotic effects. We take advantage of the weak damping that characterizes these systems to perform a multiple-scales analysis and obtain amplitude equations, describing the slow dynamics of the system. This picture allows us to expose the existence of homoclinic orbits in the dynamics of the integrable part of the slow equations of motion. Using high-dimensional Melnikov theory, we are able to obtain explicit parameter values for which these orbits persist in the full system, consisting of both Hamiltonian and non-Hamiltonian perturbations, to form so called Shilnikov orbits, indicating a loss of integrability and the existence of chaos.

      PubDate: 2017-04-10T12:58:02Z
       
  • Enhancing the precision of measurements in double quantum dot systems via
           transmission line resonator
    • Abstract: Publication date: June 2017
      Source:Chaos, Solitons & Fractals, Volume 99
      Author(s): K. Berrada
      Recently, various quantum physical systems have been suggested to control the precision of quantum measurements. Here, we propose a useful quantum system to enhance the precision of the parameter estimation by investigating the problem of estimation in double quantum dot (DQD) spin qubits by considered a transmission line resonator (TLR) as a bus system. To do this, we study the dynamical variation of the quantum Fisher information (QFI) in this scheme including the influence of the different physical parameters. We show that the amount of QFI has a small decay rate in the time and it can be controlled by adjusting the magnetic coupling between DQDs via TLR, initial parameters, and detuning parameter between the qubit system and TLR. These features make DQDs via TLR good candidates for implementation of schemes of quantum computation and coherent information processing.

      PubDate: 2017-04-03T12:33:37Z
       
  • Energy cycle and bound of Qi chaotic system
    • Abstract: Publication date: June 2017
      Source:Chaos, Solitons & Fractals, Volume 99
      Author(s): Guoyuan Qi, Jiangfeng Zhang
      The Qi chaotic system is transformed into a Kolmogorov-type system, thereby facilitating the analysis of energy exchange in its different forms. Regarding four forms of energy, the vector field of this chaotic system is decomposed into four forms of torque: inertial, internal, dissipative, and external. The rate of change of the Casimir function is equal to the exchange power between the dissipative energy and the supplied energy. The exchange power governs the orbital behavior and the cycling of energy. With the rate of change of Casimir function, a general bound and least upper bound of the Qi chaotic attractor are proposed. A detailed analysis with illustrations is conducted to uncover insights, in particular, cycling among the different types of energy for this chaotic attractor and key factors producing the different types of dynamic modes.

      PubDate: 2017-04-03T12:33:37Z
       
  • Sensitive dependence on parameters of continuous-time nonlinear dynamical
           systems
    • Abstract: Publication date: June 2017
      Source:Chaos, Solitons & Fractals, Volume 99
      Author(s): E.S. Medeiros, I.L. Caldas, M.S. Baptista
      The sensitive dependence of periodicity and chaos on parameters is investigated for three-dimensional nonlinear dynamical systems. Previous works have found that noninvertible low-dimensional maps present power-law exponents relating the uncertainty between periodicity and chaos to the precision on the system parameters. Furthermore, the values obtained for these exponents have been conjectured to be universal in these maps. However, confirmation of the observed exponent values in continuous-time systems remain an open question. In this work, we show that one of these exponents can also be found in different classes of three-dimensional continuous-time dynamical systems, suggesting that the sensitive dependence on parameters of deterministic nonlinear dynamical systems is typical.

      PubDate: 2017-04-03T12:33:37Z
       
  • Globally asymptotically stable analysis in a discrete time
           eco-epidemiological system
    • Abstract: Publication date: June 2017
      Source:Chaos, Solitons & Fractals, Volume 99
      Author(s): Zengyun Hu, Zhidong Teng, Tailei Zhang, Qiming Zhou, Xi Chen
      In this study, the dynamical behaviors of a discrete time eco-epidemiological system are discussed. The local stability, bifurcation and chaos are obtained. Moreover, the global asymptotical stability of this system is explored by an iteration scheme. The numerical simulations illustrate the theoretical results and exhibit the complex dynamical behaviors such as flip bifurcation, Hopf bifurcation and chaotic dynamical behaviors. Our main results provide an efficient method to analyze the global asymptotical stability for general three dimensional discrete systems.

      PubDate: 2017-04-03T12:33:37Z
       
  • Causal relationship between the global foreign exchange market based on
           complex networks and entropy theory
    • Abstract: Publication date: June 2017
      Source:Chaos, Solitons & Fractals, Volume 99
      Author(s): Guangxi Cao, Qi Zhang, Qingchen Li
      The foreign exchange (FX) market is a typical complex dynamic system under the background of exchange rate marketization reform and is an important part of the financial market. This study aims to generate an international FX network based on complex network theory. This study employs the mutual information method to judge the nonlinear characteristics of 54 major currencies in international FX markets. Through this method, we find that the FX network possesses a small average path length and a large clustering coefficient under different thresholds and that it exhibits small-world characteristics as a whole. Results show that the relationship between FX rates is close. Volatility can quickly transfer in the whole market, and the FX volatility of influential individual states transfers at a fast pace and a large scale. The period from July 21, 2005 to March 31, 2015 is subdivided into three sub-periods (i.e., before, during, and after the US sub-prime crisis) to analyze the topology evolution of FX markets using the maximum spanning tree approach. Results show that the USD gradually lost its core position, EUR remained a stable center, and the center of the Asian cluster became unstable. Liang's entropy theory is used to analyze the causal relationship between the four large clusters of the world.

      PubDate: 2017-04-03T12:33:37Z
       
  • Some remarks regarding h(x) – Fibonacci polynomials in an arbitrary
           algebra
    • Abstract: Publication date: June 2017
      Source:Chaos, Solitons & Fractals, Volume 99
      Author(s): Cristina Flaut, Vitalii Shpakivskyi, Elena Vlad
      In this paper, we introduce h(x) – Fibonacci polynomials in an arbitrary finite-dimensional unitary algebra over a field K ( K = R , C ) . These polynomials generalize h(x) – Fibonacci quaternion polynomials andh(x) – Fibonacci octonion polynomials. For h(x) – Fibonacci polynomials in an arbitrary algebra, we provide generating function, Binet-style formula, Catalan-style identity, and d’Ocagne-type identity.

      PubDate: 2017-04-03T12:33:37Z
       
  • On a 3-D generalized Hamiltonian model with conservative and dissipative
           chaotic flows
    • Abstract: Publication date: June 2017
      Source:Chaos, Solitons & Fractals, Volume 99
      Author(s): Shijian Cang, Aiguo Wu, Zenghui Wang, Zengqiang Chen
      Based on the generalized Hamiltonian system, a new method for constructing a class of three-dimensional (3-D) chaotic systems is presented in this paper. After choosing the proper parameters of skew-symmetric matrix, dissipative matrix and external input, one smooth 3-D chaotic system is proposed to show the effectiveness of the proposed method. Numerical simulation techniques, including phase portraits, Poincaré sections, Lyapunov exponents and bifurcation diagram, illustrate that the proposed 3-D system has periodic, quasi-periodic and chaotic flows under the conditions of different parameters.

      PubDate: 2017-04-03T12:33:37Z
       
  • A semi-analytical iterative method for solving nonlinear thin film flow
           problems
    • Abstract: Publication date: June 2017
      Source:Chaos, Solitons & Fractals, Volume 99
      Author(s): M.A. AL-Jawary
      This paper presents a new implementation of a reliable iterative method proposed by Temimi and Ansari namely (TAM) for approximate solutions of a nonlinear problem that arises in the thin film flow of a third grade fluid on a moving belt. The solution is obtained in the form of a series that converges to the exact solution with easily computed components, without any restrictive assumptions for nonlinear terms. The results are bench-marked against a numerical solution based on the classical Runge–Kutta method (RK4) and an excellent agreement is observed. Error analysis of the approximate solution is performed using the error remainder and the maximal error remainder. An exponential rate for the convergence is achieved. A symbolic manipulator Mathematica ®10 was used to evaluate terms in the iterative process.

      PubDate: 2017-04-03T12:33:37Z
       
  • Fractal scaling behavior of heart rate variability in response to
           meditation techniques
    • Abstract: Publication date: June 2017
      Source:Chaos, Solitons & Fractals, Volume 99
      Author(s): J. Alvarez-Ramirez, E. Rodríguez, J.C. Echeverría
      The rescaled range (R/S) analysis was used for analyzing the fractal scaling properties of heart rate variability (HRV) of subjects undergoing premeditation and meditation states. Eight novice subjects and four advanced practitioners were considered. The corresponding pre-meditation and meditation HRV data were obtained from the Physionet database. The results showed that mindfulness meditation induces a decrement of the HRV long-range scaling correlations as quantified with the time-variant Hurst exponent. The Hurst exponent for advanced meditation practitioners decreases up to values of 0.5, reflecting uncorrelated (e.g., white noise-like) HRV dynamics. Some parallelisms between mindfulness meditation and deep sleep (Stage 4) are discussed, suggesting that the former can be regarded as a type of induced deep sleep-like dynamics.

      PubDate: 2017-04-03T12:33:37Z
       
  • Stability and bifurcation analysis of an SIR epidemic model with logistic
           growth and saturated treatment
    • Abstract: Publication date: June 2017
      Source:Chaos, Solitons & Fractals, Volume 99
      Author(s): Jinhui Li, Zhidong Teng, Guangqing Wang, Long Zhang, Cheng Hu
      In this paper, we introduce the saturated treatment and logistic growth rate into an SIR epidemic model with bilinear incidence. The treatment function is assumed to be a continuously differential function which describes the effect of delayed treatment when the medical condition is limited and the number of infected individuals is large enough. Sufficient conditions for the existence and local stability of the disease-free and positive equilibria are established. And the existence of the stable limit cycles also is obtained. Moreover, by using the theory of bifurcations, it is shown that the model exhibits backward bifurcation, Hopf bifurcation and Bogdanov–Takens bifurcations. Finally, the numerical examples are given to illustrate the theoretical results and obtain some additional interesting phenomena, involving double stable periodic solutions and stable limit cycles.

      PubDate: 2017-04-03T12:33:37Z
       
  • The propagation-weighted priority immunization strategy based on
           propagation tree
    • Abstract: Publication date: June 2017
      Source:Chaos, Solitons & Fractals, Volume 99
      Author(s): Fuzhong Nian, Song Ren, Zhongkai Dang
      In this paper, we constructed the virus propagation tree for any infected node through improving the k-shell decomposition method. Supposing we determine the position of infected nodes, the root node of the propagation tree is an infected node and its children nodes are susceptible nodes. The virus can be diffused from the bottom to top along with the tree. Based on the analysis of the virus propagation tree, a propagation-weighted priority immunization strategy was proposed to vaccinate the influential nodes(the nodes are the several nodes of the most risky in the high-risk node and it is convenient for us to immune). The mathematical proof and the computer simulation on scale-free network are given. The results show that the propagation-weighted priority immunization is effective to prevent the virus from diffusing.

      PubDate: 2017-04-03T12:33:37Z
       
  • Fractality in coffee bean surface for roasting process
    • Abstract: Publication date: June 2017
      Source:Chaos, Solitons & Fractals, Volume 99
      Author(s): Mauricio Gabriel-Guzmán, Victor M. Rivera, Yolanda Cocotle-Ronzón, Samuel García-Díaz, Eliseo Hernandez-Martinez
      The roasting is the stage where the coffee bean undergoes physiochemical changes that provide their typical sensory characteristics (i.e., aroma and flavor). Despite the importance, the roasting process is performed based on the operator experience, which makes difficult the homogenization between batches of roasted coffee. In that sense, this paper proposes a methodology to analyze changes in the coffee bean during roasting; this can be used as an indicator of the roasting degree. The proposal is based on R/S fractal analysis of coffee bean surface images taken during the roasting process. The results indicate that the Hurst exponent exhibits dynamic changes that can be correlated with the physical changes of the coffee bean, such as fractures and color changes, suggesting that the fractal index could be used for indirect monitoring of the roasting degree.

      PubDate: 2017-04-03T12:33:37Z
       
  • Comments on: Yael Scharf, ‘A chaotic outlook on biological systems’,
           Chaos, Solitons and Fractals 95, 2017, 42–47
    • Abstract: Publication date: June 2017
      Source:Chaos, Solitons & Fractals, Volume 99
      Author(s): Ute Deichmann


      PubDate: 2017-03-26T21:50:33Z
       
  • A generalized business cycle model with delays in gross product and
           capital stock
    • Abstract: Publication date: May 2017
      Source:Chaos, Solitons & Fractals, Volume 98
      Author(s): Khalid Hattaf, Driss Riad, Noura Yousfi
      In this work, we propose a delayed business cycle model with general investment function. The time delays are introduced into gross product and capital stock, respectively. We first prove that the model is mathematically and economically well posed. In addition, the stability of the economic equilibrium and the existence of Hopf bifurcation are investigated. Our main results show that both time delays can cause the macro-economic system to fluctuate and the economic equilibrium to lose or gain its stability. Moreover, the direction of the Hopf bifurcation and the stability of the bifurcating periodic solutions are determined by means of the normal form method and center manifold theory. Furthermore, the models and results presented in many previous studies are improved and generalized.

      PubDate: 2017-03-26T21:50:33Z
       
  • Multifractal scaling properties of daily air temperature time series
    • Abstract: Publication date: May 2017
      Source:Chaos, Solitons & Fractals, Volume 98
      Author(s): N. Kalamaras, K. Philippopoulos, D. Deligiorgi, C.G. Tzanis, G. Karvounis
      The aim of the current research study is to examine the scaling properties of the mean daily, maximum and minimum air temperature time series of a single coastal site, located at the island of Crete in Greece. The Multifractal Detrended Fluctuation Analysis (MF-DFA) is used to examine the time series long-term correlation and the singularity spectrum to estimate the multifractality degree. The analysis reveals that the daily temperature time series exhibit a multifractal behavior, are positive long-term correlated and that their multifractal structure is insensitive to local fluctuations with large magnitudes.

      PubDate: 2017-03-26T21:50:33Z
       
  • Challenge on solutions of fractional Van Der Pol oscillator by using the
           differential transform method
    • Abstract: Publication date: May 2017
      Source:Chaos, Solitons & Fractals, Volume 98
      Author(s): Mobin Kavyanpoor, Saeed Shokrollahi
      In this letter, a solution of the fractional Van Der Pol equation that uses the differential transform method has been investigated. In previous studies this method was incorrectly applied to the fractional Van Der Pol oscillator and inaccurate results were obtained. In this note, true solution of the problem has been presented. Although it was shown that, this method is not appropriate and a non-periodic solution was obtained.

      PubDate: 2017-03-26T21:50:33Z
       
  • Conditions for topologically semi-conjugacy of the induced systems to the
           subshift of finite type
    • Abstract: Publication date: May 2017
      Source:Chaos, Solitons & Fractals, Volume 98
      Author(s): Hyonhui Ju, Cholsan Kim, Yunmi Choe, Minghao Chen
      Let X be a compact metric space and f: X → X be a continuous map. In [14], it was shown that if a dynamical system (X, f) has strictly coupled-expanding property, then the Hyperspace dynamical system ( K ( X ) , f ¯ ) , induced by (X, f), has a subsystem which is topologically semi-conjugated to a full shift (Σk, σ). In this paper, we show that under some conditions more weaker than those of [14], ( K ( X ) , f ¯ ) has a subsystem which not only is topologically semi-conjugated to a subshift of finite type (ΣA, σA ), but also is bigger than the subsystem builded in [14]. Furthermore, we expand above results to the fuzzy dynamical system, extended by (X, f).

      PubDate: 2017-03-13T02:59:16Z
       
  • Dynamics of a tumor-immune model considering targeted chemotherapy
    • Abstract: Publication date: May 2017
      Source:Chaos, Solitons & Fractals, Volume 98
      Author(s): Peng Liu, Xijun Liu
      Considering the targeted chemotherapy, a mathematical model of tumor-immune system was constructed on the basis of de Pillis’s model. In this paper, we conducted qualitative analysis on the mathematical model, including the positivity and boundedness of solutions, local stability and global stability of equilibrium solutions. Some numerical simulations were given to illustrate the analytic results. Comparing the targeted chemotherapy model with regular chemotherapy model, we found that the targeted chemotherapy was benefit to kill tumor cells.

      PubDate: 2017-03-13T02:59:16Z
       
  • Generalized dislocated lag function projective synchronization of
           fractional order chaotic systems with fully uncertain parameters
    • Abstract: Publication date: May 2017
      Source:Chaos, Solitons & Fractals, Volume 98
      Author(s): Cong Wang, Hong-li Zhang, Wen-hui Fan
      In this paper, we propose a new method to improve the safety of secure communication. This method uses the generalized dislocated lag projective synchronization and function projective synchronization to form a new generalized dislocated lag function projective synchronization. Moreover, this paper takes the examples of fractional order Chen system and Lü system with uncertain parameters as illustration. As the parameters of the two systems are uncertain, the nonlinear controller and parameter update algorithms are designed based on the fractional stability theory and adaptive control method. Moreover, this synchronization form and method of control are applied to secure communication via chaotic masking modulation. Many information signals can be recovered and validated. Finally, simulations are used to show the validity and feasibility of the proposed scheme.

      PubDate: 2017-03-13T02:59:16Z
       
  • Equivariant bifurcation in a coupled complex-valued neural network rings
    • Abstract: Publication date: May 2017
      Source:Chaos, Solitons & Fractals, Volume 98
      Author(s): Chunrui Zhang, Zhenzhang Sui, Hongpeng Li
      Network with interacting loops and time delays are common in physiological systems. In the past few years, the dynamic behaviors of coupled interacting loops neural networks have been widely studied due to their extensive applications in classification of pattern recognition, signal processing, image processing, engineering optimization and animal locomotion, and other areas, see the references therein. In a large amount of applications, complex signals often occur and the complex-valued recurrent neural networks are preferable. In this paper, we study a complex value Hopfield-type network that consists of a pair of one-way rings each with four neurons and two-way coupling between each ring. We discuss the spatio-temporal patterns of bifurcating periodic oscillations by using the symmetric bifurcation theory of delay differential equations combined with representation theory of Lie groups. The existence of multiple branches of bifurcating periodic solution is obtained. We also found that the spatio-temporal patterns of bifurcating periodic oscillations alternate according to the change of the propagation time delay in the coupling, i.e., different ranges of delays correspond to different patterns of neural network oscillators. The oscillations of corresponding neurons in the two loops can be in phase or anti-phase depending on the parameters and delay. Some numerical simulations support our analysis results.

      PubDate: 2017-03-13T02:59:16Z
       
 
 
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