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Dynamics of self-excited attractors and hidden attractors in generalized memristor-based Chua’s circuit

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Abstract

A novel memristive chaotic circuit is presented, which is derived from the classical Chua’s circuit by substituting Chua’s diode with a first-order memristive diode bridge. The dynamical characteristics with the variations of circuit parameters are investigated both theoretically and numerically. The research results indicate that this circuit has three determined equilibrium points and displays complex nonlinear phenomena including coexisting bifurcation modes and coexisting attractors. Specifically, with another parameter setting, the memristive Chua’s circuit can generate hidden attractors and coexisting hidden attractors in a narrow parameter region. The phenomena of self-excited attractors and hidden attractors are experimentally captured from a physical circuit, which verify the numerical simulations.

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Acknowledgments

This work is supported by the grants from the National Natural Science Foundations of China (Grant No. 51277017) and the Natural Science Foundations of Jiangsu Province (Grant No. BK20120583).

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Authors and Affiliations

  1. School of Information Science and Engineering, Changzhou University, Changzhou, 213164, China

    Mo Chen, Mengyuan Li, Qing Yu, Bocheng Bao, Quan Xu & Jiang Wang

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  1. Mo Chen
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  2. Mengyuan Li
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  3. Qing Yu
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  4. Bocheng Bao
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  5. Quan Xu
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  6. Jiang Wang
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Correspondence to Bocheng Bao.

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Chen, M., Li, M., Yu, Q. et al. Dynamics of self-excited attractors and hidden attractors in generalized memristor-based Chua’s circuit. Nonlinear Dyn 81, 215–226 (2015). https://doi.org/10.1007/s11071-015-1983-7

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  • DOI: https://doi.org/10.1007/s11071-015-1983-7

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