A new continuous memristive chaotic system with multistability and amplitude control

This letter creates a new memristive chaotic system by applying memristor with cubic nonlinear function to Sprott A system. The equilibria and their stabilities of the system are calculated. Its striking property is that it is capable of yielding multistability and amplitude control. It also has rich period-doubling and inverse period-doubling bifurcations with the parameters change. Various types of double coexisting attractors are numerically illustrated. Moreover its amplitude controls on periodic and chaotic attractors are presented.

Automated summary

This article introduces a new memristive chaotic system and highlights its ability to generate multiple stable states and control the amplitude.