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Dynamics analysis of chaotic circuit with two memristors

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Abstract

Based on Chua’s chaotic oscillation circuit, a fifth-order chaotic circuit with two memristors is designed and its corresponding dimensionless mathematic model is established. By using conventional dynamical analysis methods, stability analysis of the equilibrium set of the circuit is performed, the distribution of stable and unstable regions corresponding to the memristor initial states is achieved, and the complex dynamical behaviors of the circuit depending on the circuit parameters and the memristor initial states are investigated. The theoretical analysis and numerical simulation results demonstrate that the proposed chaotic circuit with two memristors has an equilibrium set located on the plane constituted by the inner state variables of two memristors. The stability of the equilibrium set depends on both the circuit parameters and the initial states of the two memristors. Rich nonlinear dynamical phenomena, such as state transitions, transient hyperchaos and so on, are expected.

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Authors and Affiliations

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

    BoCheng Bao, GuoDong Shi & SaiHu Pan

  2. School of Electrical Engineering, Southwest Jiaotong University, Chengdu, 610031, China

    JianPing Xu

  3. Department of Electronic Engineering, Nanjing University of Science and Technology, Nanjing, 210094, China

    Zhong Liu

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  1. BoCheng Bao
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  2. GuoDong Shi
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  3. JianPing Xu
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  4. Zhong Liu
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  5. SaiHu Pan
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Correspondence to BoCheng Bao.

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Bao, B., Shi, G., Xu, J. et al. Dynamics analysis of chaotic circuit with two memristors. Sci. China Technol. Sci. 54, 2180–2187 (2011). https://doi.org/10.1007/s11431-011-4400-6

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  • DOI: https://doi.org/10.1007/s11431-011-4400-6

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