Autonomous memristor chaotic systems of infinite chaotic attractors and circuitry realization

Memristor chaotic system has been attracted by many researchers because of the rich dynamical behaviors. However, some existed memristor chaotic systems have finite numbers of chaotic attractors. In this paper, a simple, effective method is given for designing the autonomous memristor chaotic systems of infinite chaotic attractors. Autonomous memristor chaotic systems are proposed from the start of memristor chaotic system counterparts. Three-dimensional, four-dimensional, and five-dimensional memristor chaotic systems are given in standard form with sine functions and tangent functions to prove the effectiveness of this method. Eventually, an analog circuit of three-dimensional memristor chaotic system is designed and implemented to prove its feasibility.

[1]  Viet-Thanh Pham,et al.  From Wang-Chen System with Only One Stable Equilibrium to a New Chaotic System Without Equilibrium , 2017, Int. J. Bifurc. Chaos.

[2]  Viet-Thanh Pham,et al.  Different Families of Hidden Attractors in a New Chaotic System with Variable Equilibrium , 2017, Int. J. Bifurc. Chaos.

[3]  Hongbin Pu,et al.  Model improvement for predicting moisture content (MC) in pork longissimus dorsi muscles under diverse processing conditions by hyperspectral imaging , 2017 .

[4]  Sundarapandian Vaidyanathan,et al.  Adaptive Control and Synchronization of a Memristor-Based Shinriki’s System , 2017 .

[5]  Huagan Wu,et al.  Controlling extreme multistability of memristor emulator-based dynamical circuit in flux–charge domain , 2018 .

[6]  Xu Jianping,et al.  Dynamical analysis of memristor chaotic oscillator , 2010 .

[7]  K. Thamilmaran,et al.  Implementation and study of the nonlinear dynamics of a memristor-based Duffing oscillator , 2017 .

[8]  Jinde Cao,et al.  Sliding mode synchronization of multiple chaotic systems with uncertainties and disturbances , 2017, Appl. Math. Comput..

[9]  Zhigang Zeng,et al.  Aperiodic Sampled-Data Sliding-Mode Control of Fuzzy Systems With Communication Delays Via the Event-Triggered Method , 2016, IEEE Transactions on Fuzzy Systems.

[10]  E. Atlee Jackson,et al.  OPCL MIGRATION CONTROLS BETWEEN FIVE ATTRACTORS OF THE CHUA SYSTEM , 1995 .

[11]  Jinde Cao,et al.  Adaptive synchronization of multiple uncertain coupled chaotic systems via sliding mode control , 2018, Neurocomputing.

[12]  Junwei Sun,et al.  Quasi-Ideal Memory System , 2015, IEEE Transactions on Cybernetics.

[13]  Bocheng Bao,et al.  Numerical and experimental confirmations of quasi-periodic behavior and chaotic bursting in third-order autonomous memristive oscillator , 2018 .

[14]  Jacques Kengne,et al.  Antimonotonicity, chaos and multiple attractors in a novel autonomous memristor-based jerk circuit , 2017 .

[15]  Bocheng Bao,et al.  Two-memristor-based Chua’s hyperchaotic circuit with plane equilibrium and its extreme multistability , 2017 .

[16]  Zhigang Zeng,et al.  Passivity Analysis for Memristor-Based Inertial Neural Networks With Discrete and Distributed Delays , 2019, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[17]  Huagan Wu,et al.  Coexisting infinitely many attractors in active band-pass filter-based memristive circuit , 2016 .

[18]  Xu Zhang.  Regular Nonchaotic Attractors with Positive Plural , 2016, Int. J. Bifurc. Chaos.

[19]  XU Jian-ping,et al.  On memristor based five-order chaotic circuit , 2011 .

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

[21]  D. Stewart,et al.  The missing memristor found , 2008, Nature.

[22]  Feiqi Deng,et al.  Double-compound synchronization of six memristor-based Lorenz systems , 2014 .

[23]  U. Feudel,et al.  Control of multistability , 2014 .

[24]  Guangyi Wang,et al.  Initial condition-dependent dynamics and transient period in memristor-based hypogenetic jerk system with four line equilibria , 2018, Commun. Nonlinear Sci. Numer. Simul..

[25]  G. Leonov,et al.  Hidden attractors in dynamical systems , 2016 .

[26]  Julien Clinton Sprott,et al.  Are Perpetual Points Sufficient for Locating Hidden Attractors? , 2017, Int. J. Bifurc. Chaos.

[27]  Leon O. Chua,et al.  Simplest Chaotic Circuit , 2010, Int. J. Bifurc. Chaos.

[28]  Mo Chen,et al.  Three-Dimensional Memristive Hindmarsh-Rose Neuron Model with Hidden Coexisting Asymmetric Behaviors , 2018, Complex..

[29]  Bocheng Bao,et al.  Hidden extreme multistability in memristive hyperchaotic system , 2017 .

[30]  Guanrong Chen,et al.  Estimating the ultimate bound and positively invariant set for the Lorenz system and a unified chaotic system , 2006 .