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Dynamics analysis of Wien-bridge hyperchaotic memristive circuit system

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Abstract

In this paper, a hyperchaotic memristive circuit based on Wien-bridge chaotic circuit was designed. The mathematical model of the new circuit is established by using the method of normalized parameter. The equilibrium point and the stability point of the system are calculated. Meanwhile, the stable interval of corresponding parameter is determined. Using the conventional dynamic analysis method, the dynamical characteristics of the system are analyzed. During the analysis, some special phenomenon such as coexisting attractor is observed. Finally, the circuit simulation of system is designed and the practical circuit is realized. The results of theoretical analysis and numerical simulation show that the Wien-bridge hyperchaotic memristive circuit has very rich and complicated dynamical characteristics. It provides a theoretical guidance and a data support for the practical application of memristive chaotic system.

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Acknowledgements

This work supported by the Provincial Natural Science Foundation of Liaoning (Grant No. 20170540060).

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Authors and Affiliations

  1. School of Information Science and Engineering, Dalian Polytechnic University, Dalian, 116034, China

    Xiaolin Ye, Jun Mou, Chunfeng Luo & Zhisen Wang

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  1. Xiaolin Ye
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  2. Jun Mou
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  3. Chunfeng Luo
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  4. Zhisen Wang
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Correspondence to Jun Mou.

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Ye, X., Mou, J., Luo, C. et al. Dynamics analysis of Wien-bridge hyperchaotic memristive circuit system. Nonlinear Dyn 92, 923–933 (2018). https://doi.org/10.1007/s11071-018-4100-x

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