Dynamical analysis, circuit implementation and synchronization of a new memristive hyperchaotic system with coexisting attractors
Qiang LaiSchool of Electrical and Automation Engineering, East China Jiaotong University, Nanchang 330013, ChinaZhiqiang WanSchool of Electrical and Automation Engineering, East China Jiaotong University, Nanchang 330013, ChinaPaul Didier Kamdem KuateLaboratory of Condensed Matter, Electronics and Signal Processing, Department of Physics, University of Dschang, P.O. Box 067, Dschang, CameroonHilaire Bertrand FotsinLaboratory of Condensed Matter, Electronics and Signal Processing, Department of Physics, University of Dschang, P.O. Box 067, Dschang, Cameroon
2021en
ABI
Abstract
This paper constructs a novel memristive hyperchaotic system by introducing the flux-controlled memristor to an extended jerk system. The memristive system has two equilibria and coexists two symmetric hyperchaotic attractors. The dynamic behaviors of the system are studied through bifurcation analysis. The analog circuit design and microcontroller-based experimental implementation of the system are presented. The synchronization of the system is realized by using the adaptive control technique. The sufficient conditions for synchronization are established via theoretical and numerical analysis.
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