Coexisting Chaotic Attractors and Bifurcation Analysis in a New Chaotic system with Close Curve Equilibrium Points

Abstract

This paper announces a new three-dimensional chaotic system with closed curve on the (x-y) plane. It discusses its dynamic properties such as bifurcation diagram, Lyapunov exponents, phase portraits, equilibrium points, etc. The proposed chaotic system belongs to the family of new chaotic systems with closed curve of equilibrium points. Such systems are known to exhibit hidden attractors. We also show that the new chaotic system has multi-stability and coexisting attractors.