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A simple hyperchaotic circuit with coexisting multiple bifurcations and offset boosting

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Abstract

In this paper, a fourth-order hyperchaotic circuit with smooth diode-based nonlinearity is modified from the Tamaševičius oscillator. The hyperchaotic circuit has both simple topology and algebraic equation. Some previously uncovered dynamical behaviours of multiple coexisting bifurcations, bi-stability, and offset boosting are revealed by theoretical analyses and numerical simulations. These findings are further verified by circuit 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. A simple hyperchaotic circuit with coexisting multiple bifurcations and offset boosting. Eur. Phys. J. Spec. Top. 229, 1163–1174 (2020). https://doi.org/10.1140/epjst/e2020-900245-7

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  • DOI: https://doi.org/10.1140/epjst/e2020-900245-7

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