References & Citations
Nonlinear Sciences > Adaptation and Self-Organizing Systems
Title: Emergence of chaotic hysteresis in a second-order non-autonomous chaotic circuit
(Submitted on 11 Feb 2023 (v1), last revised 13 Mar 2023 (this version, v2))
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.
Submission history
From: G Sivaganesh [view email][v1] Sat, 11 Feb 2023 03:42:55 GMT (1684kb,D)
[v2] Mon, 13 Mar 2023 09:26:21 GMT (13280kb,D)
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