A new oscillator with infinite coexisting asymmetric attractors

Zhen Wang, Hamid Reza Abdolmohammadi, Fawaz E. Alsaadi, Tasawar Hayat and Viet-Thanh Pham

Chaos, Solitons & Fractals, 2018, vol. 110, issue C, 252-258

Abstract: In this paper, we introduce a new two dimensional nonlinear oscillator with infinite number of coexisting asymmetric limit cycles and stable equilibria. Some of these attractors are self-excited, while some others are hidden attractors. Adding a forcing term to this new system, we introduce a new chaotic system with infinite number of coexisting asymmetric strange attractor, torus and limit cycles, depending on the parameters.

Keywords: Hidden attractors; Oscillators; Multistability; Chaos (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:110:y:2018:i:c:p:252-258

DOI: 10.1016/j.chaos.2018.03.031

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