Hidden attractors and multistability in a modified Chua’s circuit
Wang, N., Zhang, G., Kuznetsov, N., & Bao, H. (2021). Hidden attractors and multistability in a modified Chua’s circuit. Communications in Nonlinear Science and Numerical Simulation, 92, Article 105494. https://doi.org/10.1016/j.cnsns.2020.105494
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The first hidden chaotic attractor was discovered in a dimensionless piecewise-linear Chua’s system with a special Chua’s diode. But designing such physical Chua’s circuit is a challenging task due to the distinct slopes of Chua’s diode. In this paper, a modified Chua’s circuit is implemented using a 5-segment piecewise-linear Chua’s diode. In particular, the coexisting phenomena of hidden attractors and three point attractors are noticed in the entire period-doubling bifurcation route. Attraction basins of different coexisting attractors are explored. It is demonstrated that the hidden attractors have very small basins of attraction not being connected with any fixed point. The PSIM circuit simulations and DSP-assisted experiments are presented to illustrate the existence of hidden attractors and coexisting attractors.
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Additional information about fundingThis work was supported by the National Natural Science Foundation of China under Grant No. 61473202, and the Russian Science Foundation 19-41-02002 (hidden attractors). Ning Wang (CSC No. 202006250146) would like to acknowledge the sponsor from China Scholarship Council.
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