A new megastable nonlinear oscillator with infinite attractors

Gervais Dolvis Leutcho, Sajad Jafari, Ibrahim Ismael Hamarash, Jacques Kengne, Zeric Tabekoueng Njitacke and Iqtadar Hussain

Chaos, Solitons & Fractals, 2020, vol. 134, issue C

Abstract: Dynamical systems with megastable properties are very rare in the literature. In this paper, we introduce a new two-dimensional megastable dynamical system with a line of equilibria, having an infinite number of stable states. By modifying this new system with temporally-periodic forcing term, a new two-dimensional non-autonomous nonlinear oscillator capable to generate an infinite number of coexisting limit cycle attractors, torus attractors and, strange attractors is constructed. The analog implementation of the new megastable oscillator is investigated to further support numerical analyses and henceforth validate the mathematical model.

Keywords: Forced oscillator; Megastability; Self-excited attractors; Coexisting attractors (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:134:y:2020:i:c:s0960077920301053

DOI: 10.1016/j.chaos.2020.109703

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