Journal
CHAOS
Volume 27, Issue 3, Pages -Publisher
AMER INST PHYSICS
DOI: 10.1063/1.4979039
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Funding
- National Natural Science Foundation of China [61571185]
- Natural Science Foundation of Hunan Province, China [2016JJ2030]
- Open Fund Project of Key Laboratory in Hunan Universities [15K027]
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In this paper, two kinds of novel ideal active flux-controlled smooth multi-piecewise quadratic nonlinearity memristors with multi-piecewise continuous memductance function are presented. The pinched hysteresis loop characteristics of the two memristor models are verified by building a memristor emulator circuit. Using the two memristor models establish a new memristive multiscroll Chua's circuit, which can generate 2N-scroll and 2N+1-scroll chaotic attractors without any other ordinary nonlinear function. Furthermore, coexisting multi-scroll chaotic attractors are found in the proposed memristive multi-scroll Chua's circuit. Phase portraits, Lyapunov exponents, bifurcation diagrams, and equilibrium point analysis have been used to research the basic dynamics of the memristive multi-scroll Chua's circuit. The consistency of circuit implementation and numerical simulation verifies the effectiveness of the system design. Published by AIP Publishing.
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