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Coexistence of periodic and strange attractor in a memristive band pass filter circuit with amplitude control

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Abstract

By replacing the cubic voltage-controlled memristor emulator with the quadratic one in an existing memristive band pass filter (BPF) chaotic circuit, a modified memristive BPF circuit with two asymmetric equilibria is proposed. A dimensionless model is used to analyse the fundamental properties. The nonlinear techniques including phase portraits, bifurcation diagrams, Lyapunov exponents, Poincaré sections, and attraction basins are used to analyse the complex dynamics. The striking feature is that this system exhibits the bi-stability phenomenon of coexisting periodic and strange attractors with adjustable amplitudes. The results of theoretical analysis are effectively verified by numerical simulations and hardware experiments.

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Authors and Affiliations

  1. Department of Electronics Technical, Changzhou Xingyu Automotive Lighting System Co, Ltd., Changzhou, 213022, P.R. China

    Yan Yang, Kangcheng Ren, Hui Qian & Xiaoyong Yao

Authors
  1. Yan Yang
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  2. Kangcheng Ren
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  3. Hui Qian
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  4. Xiaoyong Yao
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Correspondence to Yan Yang.

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Yang, Y., Ren, K., Qian, H. et al. Coexistence of periodic and strange attractor in a memristive band pass filter circuit with amplitude control. Eur. Phys. J. Spec. Top. 228, 2011–2021 (2019). https://doi.org/10.1140/epjst/e2019-800239-6

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  • DOI: https://doi.org/10.1140/epjst/e2019-800239-6

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