|Coexisting Attractors Generated from a New 4D Smooth Chaotic System
Qiang Lai* and Shiming Chen
International Journal of Control, Automation, and Systems, vol. 14, no. 4, pp.1124-1131, 2016
Abstract : In this paper, a new 4D smooth chaotic system with coexisting attractors is proposed. The coexisting
attractors which means two or more attractors generate simultaneously from different initial values is an important
nonlinear dynamics. It is found that the new system is rich in coexisting attractors by numerical simulation. Detailed
investigation of the coexisting chaotic attractors, coexisting chaotic and periodic attractors, coexisting chaotic and
point attractors, coexisting periodic and point attractors in the system are presented. It is shown that the system may
coexist four independent attractors by selecting appropriate parameters and initial values.
Keyword : Chaotic system, coexisting attractors, equilibria, initial value.