Title: Emergence of complex dynamic behaviours in the Chua's circuit with a nonlinear inductor

Authors: Paul Didier Kamdem Kuate; Njimboh Henry Alombah; Hilaire Fotsin

Addresses: Laboratory of Condensed Matter, Electronics and Signal Processing, Department of Physics, University of Dschang, P.O. Box 067, Dschang, Cameroon ' Department of Electrical and Electronic Engineering, College of Technology, University of Bamenda, P.O. Box 39, Bambili, Cameroon ' Laboratory of Condensed Matter, Electronics and Signal Processing, Department of Physics, University of Dschang, P.O. Box 067, Dschang, Cameroon

Abstract: By considering a nonlinear inductor in the Chua's circuit, the dynamics of the circuit can be appreciated in a more generalised way and some neglected aspects of the realities of electronics are taken into consideration. In this work, the cubic and polynomial current-dependent models of the inductor are used. A systematic study is done with the help of tools such as bifurcation diagrams, Lyapunov spectrum and frequency power spectrum. The rich dynamics of the system reveal some complex behaviours and phenomena. Especially antimonotonicity, metastable chaos, coexistence of non-symmetric periodic orbits and chaotic attractors, phenomena that were not observed in the classical and the canonical Chua's circuit.

Keywords: Chua's circuit; nonlinear inductor; antimonotonicity; metastable chaos; coexistence of attractors.

DOI: 10.1504/IJANS.2021.120128

International Journal of Applied Nonlinear Science, 2021 Vol.3 No.2, pp.156 - 178

Received: 31 Oct 2020
Accepted: 06 Aug 2021
Published online: 07 Jan 2022 *

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