DYNAMICAL ANALYSIS OF A NEW 3D CHAOTIC SYSTEM WITH COEXISTING ATTRACTORS.

In this paper, a new 3D chaotic system with five nonlinearities is introduced. The basic behaviors of the system are investigated. The dynamic evolution of the system is analyzed by bifurcation diagram, Lyapunov exponents, phase diagram. It is shown that the system generates chaos via Hopf bifurcation and period-doubling bifurcation with the parameters change. The coexisting attractors including point, periodic, chaotic attractors is presented. It is found that the system is abound in coexisting double homologous attractors with respect to different initial values. [ABSTRACT FROM AUTHOR]