Electronic Circuit Design of a Novel Chaotic System with Apple-Shaped Curve Equilibrium and Multiple Coexisting Attractors

A new 3-D chaotic system with an apple-shaped equilibrium curve is proposed in this research work. There is great interest in the literature in discovering chaotic systems with closed curves of equilibrium points. In this work, we report a new 3-D chaotic system with an appleshaped closed curve of equilibrium points. We perform a detailed dynamic analysis of the chaotic system with bifurcation diagram, Lyapunov exponents, phase portraits, etc. We show that the new chaotic system is multi-stable with coexisting chaotic attractors. As a circuit application, we design MultiSIM electronic circuit for the new chaotic system. The MultiSIM outputs show good agreement with the MATLAB outputs for the new chaotic system.