A novel circuit based on memristor-memcapacitor with extreme multistability

In this paper, a novel chaotic circuit is built with a memristor and a memcapacitor. The equivalent circuits of the memristor and the memcapacitor are given. The system model is obtained by dimensionless processing. The stability of the equilibrium point and the influence of the two parameters on the dynamical characteristics are discussed. In addition, special phenomena such as chaotic degeneration and extreme multistability are also found in the system. Finally, the phase diagram of the system is implemented by circuit simulation and DSP hardware platform respectively. The research results can be used as a reference when chaotic systems are applied in the field of engineering and secure communications.