An extreme multistable circuit based on a new memcapacitor and a new meminductor

Abstract

Abstract Expanding the definition of memristor gets memcapacitor and meminductor. Because there are very few physical memory elements, it is very meaningful to apply its equivalent model to the study of physical circuits. In this paper, based on the definition of memory element, a new memcapacitor and a new meminductor are proposed, and a chaotic oscillator circuit is constructed based on them. Whether the two memory elements have memory characteristics is analyzed. The range of equilibrium points of the chaotic oscillator circuit is determined. The dynamical behavior of this chaotic oscillator circuit is analyzed by the Lyapunov exponent spectrum (LEs), bifurcation diagram (BD) and spectral entropy complexity (SE). Finally, Multisim software is used to verify the correctness of the simulation, and the physical realizability of the system is verified by the DSP platform. The results of the research help to better utilize this chaotic oscillator circuit in the field of communication encryption.