Dynamics analysis of memristor chaotic circuit with coexisting hidden attractors

Abstract

In this paper, a novel Sr 0.97 Ba 0.03 TiO 3−δ memristor based fifth-order chaotic circuit was proposed. A new cubic nonlinear magnetic control model was established by analyzing the measured data. The equilibrium points and its stability of the circuit system were analyzed by the Jacobi matrix method, and the effects of the initial states and circuit parameters on the system were discussed though methods of Lyapunov exponents spectra, bifurcation diagrams, phase diagrams, and poincaré maps. The results show that the chaotic circuit can produce complex dynamic phenomena with the variation of initial states and circuit parameters. The dynamic phenomena such as coexisting attractors have been discovered. In particular, coexisting hidden attractors were generated in the chaotic circuit, which was of great significance in engineering applications.