Emergence of chaotic hysteresis in a second-order non-autonomous chaotic circuit
Adaptation and Self-Organizing Systems
2023-08-16 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.
Keywords
Cite
@article{arxiv.2303.03158,
title = {Emergence of chaotic hysteresis in a second-order non-autonomous chaotic circuit},
author = {G. Sivaganesh and K. Srinivasan and T. Fonzin Fozin and R. Gladwin Pradeep},
journal= {arXiv preprint arXiv:2303.03158},
year = {2023}
}
Comments
27 Pages, 10 figures