A novel hyperchaotic system with infinitely many heteroclinic orbits coined. (January 2018)

• Record Type: Journal Article
• Authors: Wang, Haijun; Li, Xianyi
• Is Part Of: Chaos, solitons and fractals. Volume 106(2018)
• Page Start: 5
• Page End: 15
• Publication Date: 2018-01
• Subjects: 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; 34C45 -- 34C37; Chaotic behavior in systems -- Periodicals; Solitons -- Periodicals; Fractals -- Periodicals; Chaotic behavior in systems; Fractals; Solitons; Periodicals; 003.7
• DOI: 10.1016/j.chaos.2017.10.029
• Languages: English
• ISSNs: 0960-0779

Abstract

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.