https://doi.org/10.1140/epjp/s13360-024-05777-w
Regular Article
Symmetry, chaos control and hysteresis in a second-order non-autonomous circuit with square-wave excitation
1
Department of Physics, Nehru Memorial College (Affiliated to Bharathidasan University, Tiruchirapalli, Tamilnadu - 620 024, India), Puthanampatti, 621 007, Tiruchirapalli, Tamilnadu, India
2
Department of Physics, Alagappa Chettiar Government College of Engineering and Technology, 630 003, Karaikudi, Tamilnadu, India
3
Department of Electrical and Electronic Engineering, Faculty of Engineering and Technology (FET), University of Buea, P.O. Box 63, Buea, Cameroon
4
Department of Physics, KCG College of Technology, 600 097, Chennai, India
5
School of Digital Sciences, Digital University Kerala, Technopark Phase IV, 695317, Thiruvananthapuram, Kerala, India
Received:
7
August
2024
Accepted:
22
October
2024
Published online:
8
November
2024
In this paper, we report the dynamical evolution of a second-order non-autonomous electronic circuit, namely, the Murali-Lakshmanan-Chua (MLC) circuit subjected to square wave excitation. The dynamics of the circuit is studied by varying the amplitude, duty cycle of the square wave and the DC offset voltage through phase-portraits, power spectrum, one-parameter bifurcation diagrams, Lyapunov exponents and two-phase diagrams. Experimentally observed oscilloscope images and power spectra are presented to confirm the numerical studies. With the amplitude, duty cycle of the square wave and DC offset voltage as control parameters, a rich variety of dynamical phenomena such as chaos, dynamical symmetry, hysteresis, period-doubling structures are observed and reported. Finally, analytical solutions are developed for the square wave forced system and the multistability behavior observed through numerical and experimental studies are validated using the analytical results.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
