A novel hyperchaotic system with infinitely many heteroclinic orbits coined

Haijun Wang and Xianyi Li

Chaos, Solitons & Fractals, 2018, vol. 106, issue C, 5-15

Abstract: Based on the famous Shimizu–Morioka system, this paper proposes a novel five-dimensional Shimizu–Morioka-type hyperchaotic system that has an infinite set of heteroclinic orbits. Of particular interest are the following observed properties of the system: (i) the existence of both ellipse-parabola-type and hyperbola-parabola-type of equilibria; (ii) the strange attractor coexisting either non-isolated equilibria or two pairs of symmetrical equilibria; (iii) the existence of the proposed strange attractors and hyperchaotic attractors bifurcated from the corresponding singularly degenerate heteroclinic cycles; (iv) the existence of an infinite set of both ellipse-parabola-type and hyperbola-parabola-type heteroclinic orbits.

Keywords: 5D Hyperchaotic system; Ellipse-parabola-type and hyperbola-parabola-type heteroclinic orbits; Singularly degenerate heteroclinic cycle; Lyapunov function; ω–Limit set and α–limit set (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:106:y:2018:i:c:p:5-15

DOI: 10.1016/j.chaos.2017.10.029

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