Study on Coexistence of Multipe Attractors in Memristor-based Switching Chaotic Circuits

In order to study the dynamic behavior of memristor switch circuit, a memristor-based switched chaotic circuit with multiple coexisting attractors is designed. There exists multiple attractor bifurcation in this circuit system. When boundary collisions occurs in the system, there are different attractors coexisting in the system. It includes the coexistence of the single periodic limit cycles with chaotic attractors, different chaotic attractors, symmetric 2-periodic limit cycles, and symmetric 2-periodic limit cycles with 5-periodic limit cycles. The dynamic behavior of the circuit system is analyzed by numerical simulation of phase diagram and bifurcation diagram. And the feasibility of the circuit is verified by PSIM circuit simulation, this paper is of great significance to the study of multiple attractor bifurcation in switching circuits and the application of chaos.