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Dynamics of a physical SBT memristor-based Wien-bridge circuit

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Abstract

In this paper, a physical SBT memristor-based Wien-bridge chaotic circuit is proposed. The equilibrium point and stability of the chaotic circuit are analyzed theoretically. The dynamical characteristics of circuit system with the variation in the initial state and the circuit element parameters are investigated by means of Lyapunov exponents, bifurcation diagrams and phase portraits. The results show that the circuit system exhibits complex dynamic behaviors, such as stable point, period, and chaos. Specifically, the system can generate hidden chaotic attractors and coexisting chaotic attractors. All the results provide an important theoretical basis for the next physical implementation of the chaotic circuit.

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Acknowledgements

We appreciate editor and reviewers for their helpful and constructive comments on our manuscript. Some pieces of comments even enlighten us for future researches. We appreciate Dr. Fang Yuan for valuable discussion. This work was supported by the National Natural Science Foundation of China (Nos. 61703247, 61703246, 61473177) the China Postdoctoral Science Foundation (No. 2015M582114), the Shandong Postdoctoral Special Foundation (No. 201502017),and the Qingdao Science and Technology Plan Project(No. 15-9-1-39-jch).

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Authors and Affiliations

  1. College of Electrical Engineering and Automation, Shandong University of Science and Technology, Tsingtao, 266590, People’s Republic of China

    Mei Guo, Zhenhao Gao, Youbao Xue, Gang Dou & Yuxia Li

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  1. Mei Guo
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  2. Zhenhao Gao
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  3. Youbao Xue
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  4. Gang Dou
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  5. Yuxia Li
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Correspondence to Gang Dou.

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Guo, M., Gao, Z., Xue, Y. et al. Dynamics of a physical SBT memristor-based Wien-bridge circuit. Nonlinear Dyn 93, 1681–1693 (2018). https://doi.org/10.1007/s11071-018-4284-0

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  • DOI: https://doi.org/10.1007/s11071-018-4284-0

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