On a New Three-dimensional Chaotic System with Only One Equilibrium Based on a Series Memristive Circuit

Abstract

This paper introduces several basic principles of chaos generated by memristive circuits in accordance with the characteristic of memristor, and a new three-dimensional chaotic system with only one equilibrium are further proposed based on a series memristive circuit. The numerical results show that the proposed memristive system has the common features of nonlinear system under different parameters, such as periodic orbit and chaos which are demonstrated by numerical simulations, bifurcation analysis. Most importantly, the system can be used for illustrating continuous period-double bifurcations routing to chaos.