Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8254086 | Chaos, Solitons & Fractals | 2018 | 11 Pages |
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
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Statistical and Nonlinear Physics
Authors
Haijun Wang, Xianyi Li,