A new four-dimensional system containing chaotic or hyper-chaotic attractors with no equilibrium, a line of equilibria and unstable equilibria

Fahimeh Nazarimehr, Karthikeyan Rajagopal, Jacques Kengne, Sajad Jafari and Viet-Thanh Pham

Chaos, Solitons & Fractals, 2018, vol. 111, issue C, 108-118

Abstract: In this paper, a new multi-character dynamical system is proposed. It has chaotic and hyper-chaotic attractors without any equilibrium, with a line of equilibria or with unstable equilibrium. It means that the proposed system can change its characteristic by varying its parameters. This system shows multi-stability between different attractors such as quasi-periodic and chaotic attractors, quasi-periodic and periodic attractors, two periodic attractors and also two chaotic attractors.

Keywords: Chaos; Hyper-chaos; Equilibrium; Multi-character (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (11)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:111:y:2018:i:c:p:108-118

DOI: 10.1016/j.chaos.2018.04.009

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