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Emergence of chaotic hysteresis in a second-order non-autonomous chaotic circuit

Author

Listed:
  • Sivaganesh, G.
  • Srinivasan, K.
  • Fozin, T. Fonzin
  • Pradeep, R. Gladwin

Abstract

The observation of hysteresis in the switching between the attractors of a third-order autonomous chaotic system namely, the Chua’s circuit has been reported recently (Gomes et al., 2023). In the present work, we make a detailed study on the emergence of chaotic hysteresis in the switching between the attractors of MLC circuit. The experimental realization of chaotic hysteresis is further validated by numerical simulation and analytical solutions. The presence of chaotic hysteresis in a second-order non-autonomous electronic circuit is reported for the first time. Multistable regions are observed in the dynamics of MLC with constant bias.

Suggested Citation

  • Sivaganesh, G. & Srinivasan, K. & Fozin, T. Fonzin & Pradeep, R. Gladwin, 2023. "Emergence of chaotic hysteresis in a second-order non-autonomous chaotic circuit," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    • Handle: RePEc:eee:chsofr:v:174:y:2023:i:c:s0960077923007853
    DOI: 10.1016/j.chaos.2023.113884
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    References listed on IDEAS

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    1. Gomes, Iacyel & Korneta, Wojciech & Stavrinides, Stavros G. & Picos, Rodrigo & Chua, Leon O., 2023. "Experimental observation of chaotic hysteresis in Chua's circuit driven by slow voltage forcing," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).
    2. K Murali & Sudeshna Sinha & Vivek Kohar & Behnam Kia & William L Ditto, 2018. "Chaotic attractor hopping yields logic operations," PLOS ONE, Public Library of Science, vol. 13(12), pages 1-17, December.
    3. Li, Chunbiao & Sprott, Julien Clinton & Zhang, Xin & Chai, Lin & Liu, Zuohua, 2022. "Constructing conditional symmetry in symmetric chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
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