Coexisting attractors generated from a new 4D smooth chaotic system

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.