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arXiv · 2303.03158

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

G. Sivaganesh·K. Srinivasan·T. Fonzin Fozin·R. Gladwin Pradeep
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Abstract

The observation of hysteresis in the dynamics of a third-order autonomous chaotic system namely, the {\it{Chua's}} circuit has been reported recently \cite{Gomes2023}. In the present work, we make a detailed study on the emergence of dynamical hysteresis in a simple second-order non-autonomous chaotic system namely, the {\it{Murali-Lakshmanan-Chua }} (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.

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G. Sivaganesh, K. Srinivasan, T. Fonzin Fozin, R. Gladwin Pradeep. 2023-02-11. Emergence of chaotic hysteresis in a second-order non-autonomous chaotic circuit. https://doi.org/10.1016/j.chaos.2023.113884

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