A memristive map with coexisting chaos and hyperchaos

A memristive map with coexisting chaos and hyperchaos

By introducing a discrete memristor and periodic sinusoidal functions, a two-dimensional map with coexisting chaos and hyperchaos is constructed. Various coexisting chaotic and hyperchaotic attractors under different Lyapunov exponents are firstly found in this discrete map, along with which other r...

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Veröffentlicht in:Chinese physics B 2021-11, Vol.30 (11), p.110502-332
Hauptverfasser: Kong, Sixiao, Li, Chunbiao, He, Shaobo, Çiçek, Serdar, Lai, Qiang
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container_issue 11
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container_title Chinese physics B
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creator Kong, Sixiao
Li, Chunbiao
He, Shaobo
Çiçek, Serdar
Lai, Qiang
description By introducing a discrete memristor and periodic sinusoidal functions, a two-dimensional map with coexisting chaos and hyperchaos is constructed. Various coexisting chaotic and hyperchaotic attractors under different Lyapunov exponents are firstly found in this discrete map, along with which other regimes of coexistence such as coexisting chaos, quasi-periodic oscillation, and discrete periodic points are also captured. The hyperchaotic attractors can be flexibly controlled to be unipolar or bipolar by newly embedded constants meanwhile the amplitude can also be controlled in combination with those coexisting attractors. Based on the nonlinear auto-regressive model with exogenous inputs (NARX) for neural network, the dynamics of the memristive map is well predicted, which provides a potential passage in artificial intelligence-based applications.
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title A memristive map with coexisting chaos and hyperchaos
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