A gallery of chaotic systems with an infinite number of equilibrium points

Pham, Viet–Thanh, Sajad Jafari, Christos Volos and Tomasz Kapitaniak

Chaos, Solitons & Fractals, 2016, vol. 93, issue C, 58-63

Abstract: In this work, a systematic search for finding chaotic systems with infinite equilibria is described. As a result, we obtained a gallery of chaotic systems with various shapes of equilibrium points such as a line, two parallel lines, a piece–wise linear curve, a parabola, a hyperbola, or a circle. Interestingly, such novel systems exhibit “hidden attractors”, which play vital roles in nonlinear theory and practical engineering issues.

Keywords: Chaos; Hidden attractor; Equilibrium; Phase portrait; Bifurcation diagram; Lyapunov exponent (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:93:y:2016:i:c:p:58-63

DOI: 10.1016/j.chaos.2016.10.002

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