Coexisting Attractors and Hopf Bifurcation in Floating Memristors Based Chaotic Circuit

doi:10.19596/j.cnki.1001-246x.7563

Abstract

Abstract: We propose a novel floating memristor chaotic circuit with serial connection between a charge-controlled memristor and an inductor.Basic dynamic properties of the system are investigated with conventional dynamic analysis method. It shows that the system produces a pair of "heart" type attractors about origin symmetry. Simulation results indicate that strange attractors like bow tie type are observed as voltage and electricity signal in observing chaotic attractors are generalized to power and energy signal. Hopf bifurcation behavior is analyzed and verified by numerical simulation. It shows that the system can produce two bifurcation behaviors by adjusting parameters. They are Hopf bifurcation and anti-period doubling bifurcation. Remarkable feature of the citcuit is that it adopts a floating memristor, and with different initial state it generates nonlinear phenomena including coexisting chaotic and coexisting chaotic-periodic attractors.

Key words: charge controlled memristor, chaotic circuit, dynamics, Hopf bifurcation, coexisting attractors

CLC Number:

O415.5
O545

WANG Wei, ZENG Yicheng, CHEN Zheng, SUN Ruiting. Coexisting Attractors and Hopf Bifurcation in Floating Memristors Based Chaotic Circuit[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2017, 34(6): 747-756.

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