Multistability in a Circulant Dynamical System

In this paper we report on a two parameter four-dimensional dynamical system with cyclic symmetry, namely circulant system. This is twelve-term polynomial four cubic nonlinearities. Reported are some parameter-space diagrams for system, all of them considering the same range parameters, but generated from different initial conditions. We show that such display occurrence multistability in Properly bifurcation confirm finding. Basins attraction coexisting attractors related phase-space presented, as well an example showing phase portraits periodic and chaotic attractors.