Emergence of complex dynamic behaviours in the Chua's circuit with a nonlinear inductor. (24th December 2021)

• Record Type: Journal Article
• Authors: Kuate, Paul Didier Kamdem; Alombah, Njimboh Henry; Fotsin, Hilaire
• Is Part Of: International journal of applied nonlinear science. Volume 3:Number 2(2021)
• Page Start: 156
• Page End: 178
• Publication Date: 2021-12-24
• Subjects: Chua's circuit -- nonlinear inductor -- antimonotonicity -- metastable chaos -- coexistence of attractors; Science -- Mathematical models -- Periodicals; Engineering -- Mathematical models -- Periodicals; Nonlinear theories -- Periodicals; 501.5118
• Languages: English
• ISSNs: 1752-2862

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.