A New Five-Dimensional Hyperchaotic System with Six Coexisting Attractors

Authors

Jiaopeng Yang
Zhaosheng Feng, The University of Texas Rio Grande Valley
Zhengrong Liu

Document Type

Article

Publication Date

2-6-2021

Abstract

This article presents a hyperchaotic system of five-dimensional autonomous ODEs that has five cross-product nonlinearities. Under certain parametric conditions, it exhibits three different types of hyperchaotic and chaotic systems which correspond to six hyperchaotic attractors with a non-hyperbolic equilibrium line, four chaotic attractors with seventeen hyperbolic equilibria, and four chaotic attractors with only one hyperbolic equilibrium, respectively. The fundamental dynamics are analyzed theoretically and numerically, such as the onset of hyperchaos and chaos, routes to chaos, persistence of chaos, coexistence of attractors, periodic windows and bifurcations. It is particularly shown that the coexisting attractors of the 5D system inside the hypercone are symmetric. Some dynamical characteristics of these attractors are illustrated.

Comments

Copyright © 2021, The Author(s), under exclusive licence to Springer Nature Switzerland AG part of Springer Nature

https://rdcu.be/c51vH

Recommended Citation

Yang, J., Feng, Z. & Liu, Z. A New Five-Dimensional Hyperchaotic System with Six Coexisting Attractors. Qual. Theory Dyn. Syst. 20, 18 (2021). https://doi.org/10.1007/s12346-021-00454-0

Publication Title

Qual. Theory Dyn. Syst.

DOI

10.1007/s12346-021-00454-0