Extreme multistability and state transition on a physical memristor-memcapacitor-based chaotic circuit

In this paper, a fifth-order chaotic circuit with extreme multistability is designed based on the physical memristor and memcapacitor (equivalent circuit based on physical memristor). This chaotic circuit possesses plane equilibrium, and extreme multistability produces when infinitely many attractors are coexisted for the same set of system parameters. Some conventional methods of characterizing chaotic motion are used to investigate system dynamics, such as stability analysis, phase diagrams, Lyapunov exponents spectra and bifurcation diagrams. By changing the initial values and parameters of the system, the coexistence of chaotic attractors and the state transition phenomena are observed. This study is conducive to explore the inner mechanisms and seek potential applications of this physical memristor-memcapacitor-based chaotic circuit.