Dynamics and circuit implementation of a four-wing memristive chaotic system with attractor rotation

摘要

By introducing a flux-controlled memristor with quadratic nonlinearity into the Liu-Chen system as a feedback term, a novel four-wing memristive chaotic system is derived in this paper. This memristive chaotic system with a line of equilibrium, which presented striking extreme multistability that has received extensive attention and research in recent years, can generate single-wing 1-periodic, single-wing 2-periodic, single-wing chaotic and other double-wing state rotational coexisting attractors depending on the memristor initial conditions. Furthermore, complex transient transition and sustained chaotic state behaviors can also be observed, the complex phenomenon of memristive chaotic system with infinite equilibrium is further revealed. The dynamical behaviors are numerically verified through investigating phase portraits, Lyapunov exponent spectra, bifurcation diagrams and basin of attraction. Finally, Multisim simulations and hardware experiments are carried out to validate the theoretical analysis.