Yet another four-dimensional chaotic system with multiple coexisting attractors

The study of nonlinear system with coexisting chaotic attractors is of recent interest. In this letter, we introduce a new four-dimensional chaotic system with coexisting attractors. The system has three quadratic nonlinearities and only one unstable fixed point. Basic dynamics of the system are analyzed, including dissipativity, equilibria, etc. The coexisting attractors in the system is investigated by numerical simulation. The control problem of the system is also considered. By using an ordinary feedback controller and a speed feedback controller, the chaotic behavior of the system can be well suppressed.