A novel hyperchaotic system with infinitely many heteroclinic orbits coined

作者：Wang, Haijun; Li, Xianyi^*

来源：Chaos Solitons & Fractals, 2018, 106: 5-15.

DOI：10.1016/j.chaos.2017.10.029

• 5D Hyperchaotic system
• Ellipse-parabola-type and hyperbola-parabola-type heteroclinic orbits
• Singularly degenerate heteroclinic cycle
• Lyapunov function
• omega-Limit set and alpha-limit set

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.

• 出版日期2018-1
• 单位浙江科技学院