Periodically Switched Memristor Initial Boosting Behaviors in Memristive Hypogenetic Jerk System

This paper presents a new memristive hypogenetic jerk system with sine memductance. The memristive system owns four line equilibrium sets, from which periodically switched memristor initial boosting behaviors are observed. Numerical simulations of two-dimensional largest Lyapunov exponent plot, bifurcation plots, and phase plots are employed to reveal the boosting evolutions. The results indicate that the memristor initial boosting behaviors display obvious cyclicity. In each cycle, infinite coexisting attractors are founded and their positions switch between the two line equilibrium sets composed of index-2 saddle-foci. Furthermore, the cyclic width can be zoomed in or out by an introduced cyclic width controller. Thus, the periodically switched memristor initial boosting behaviors with the cyclic width controller can be adjusted to obtain the initial value domain with more suitable dynamic range or better controllability, which can set good foundation for the control of extreme multistability. Finally, PSIM (Power Simulation) experiments are performed to verify the numerical results.