A New 4D Chaotic System with Two-Wing, Four-Wing, and Coexisting Attractors and Its Circuit Simulation

In order to further improve the complexity of chaotic system, a new four-dimensional chaotic system is constructed based on Sprott B chaotic system. By analyzing the system’s phase diagrams, symmetry, equilibrium points, and Lyapunov exponents, it is found that the system can generate not only both two-wing and four-wing attractors but also the attractors with symmetrical coexistence, and the dynamic characteristics of the new system constructed are more abundant. In addition, the system is simulated by Multisim software, and the simulation results show that the results of circuit simulation and numerical simulation analysis are basically the same.

[1]  L. O. Chua,et al.  The double scroll family. I: Rigorous of chaos. II: Rigorous analysis of bifurcation phenomena , 1986 .

[2]  Chen Tian-Lun,et al.  Application of Chaos in Genetic Algorithms , 2002 .

[3]  J. E. Skinner,et al.  Chaos and physiology: deterministic chaos in excitable cell assemblies. , 1994, Physiological reviews.

[4]  Jun Yu,et al.  Realization of a Novel Logarithmic Chaotic System and Its Characteristic Analysis , 2019, Int. J. Bifurc. Chaos.

[5]  Martin Hasler,et al.  Engineering chaos for encryption and broadband communication , 1995, Philosophical Transactions of the Royal Society of London. Series A: Physical and Engineering Sciences.

[6]  L. Chua,et al.  The double scroll family , 1986 .

[7]  O. Rössler.  An equation for continuous chaos , 1976 .

[8]  Victor Pavlovich Maslov,et al.  Theory of chaos and its application to the crisis of debts and the origin of inflation , 2009 .

[9]  E. Lorenz.  Deterministic nonperiodic flow , 1963 .

[10]  Guanrong Chen,et al.  A New Chaotic System and its Generation , 2003, Int. J. Bifurc. Chaos.

[11]  Julien Clinton Sprott,et al.  Coexistence of Point, periodic and Strange attractors , 2013, Int. J. Bifurc. Chaos.

[12]  Guanrong Chen,et al.  YET ANOTHER CHAOTIC ATTRACTOR , 1999 .

[13]  Julien Clinton Sprott,et al.  Coexisting Hidden Attractors in a 4-D Simplified Lorenz System , 2014, Int. J. Bifurc. Chaos.

[14]  Peng Li,et al.  Fractional-order 4D hyperchaotic memristive system and application in color image encryption , 2019, EURASIP J. Image Video Process..

[15]  Damian Giaouris,et al.  Chaos, coexisting attractors, and fractal basin boundaries in DC drives with full-bridge converter , 2010, Proceedings of 2010 IEEE International Symposium on Circuits and Systems.

[16]  Rabinder N Madan,et al.  Chua's Circuit: A Paradigm for Chaos , 1993, Chua's Circuit.

[17]  Jacques Kengne,et al.  Dynamical analysis of a simple autonomous jerk system with multiple attractors , 2016 .

[18]  Qiang Lai,et al.  Various Types of Coexisting Attractors in a New 4D Autonomous Chaotic System , 2017, Int. J. Bifurc. Chaos.

[19]  G. Leonov,et al.  Hidden attractor in smooth Chua systems , 2012 .

[20]  Chaoyang Chen,et al.  Coexisting attractors, circuit realization and impulsive synchronization of a new four-dimensional chaotic system , 2019, Modern Physics Letters B.

[21]  Chen Zengqiang,et al.  On a four-winged chaotic attractor , 2007 .

[22]  Julien Clinton Sprott,et al.  Multistability in a Butterfly Flow , 2013, Int. J. Bifurc. Chaos.

[23]  Sundarapandian Vaidyanathan,et al.  Dynamics, circuit realization, control and synchronization of a hyperchaotic hyperjerk system with coexisting attractors , 2017 .

[24]  Lin Wang,et al.  3-scroll and 4-scroll chaotic attractors generated from a new 3-D quadratic autonomous system , 2009 .

[25]  Guanrong Chen,et al.  Dynamical Analysis of a New Chaotic Attractor , 2002, Int. J. Bifurc. Chaos.

[26]  J. Sprott,et al.  Some simple chaotic flows. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[27]  James Gleick,et al.  Chaos, Making a New Science , 1987 .

[28]  Zhong Liu,et al.  Hyperchaos from an Augmented Lü System , 2010, Int. J. Bifurc. Chaos.

[29]  Gregory W. Wornell,et al.  Signal processing in the context of chaotic signals , 1992, [Proceedings] ICASSP-92: 1992 IEEE International Conference on Acoustics, Speech, and Signal Processing.