Abstract
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.
Highlights
If only initiating from different sets of variable initial conditions, a system trajectories can drop into attraction basins with differentiated dynamics, the dynamical system is with multistability [1]–[4]
When a memristor with sine memductance are introduced into a dynamical system, a question to ask is whether the memristor initial boosting behavior will be cyclical
This type of memristor initial-dependent multistability can be controlled in one cycle instead of the whole initial dynamical range
Summary
If only initiating from different sets of variable initial conditions, a system trajectories can drop into attraction basins with differentiated dynamics, the dynamical system is with multistability [1]–[4]. Wu et al.: Periodically Switched Memristor Initial Boosting Behaviors in Memristive Hypogenetic Jerk System the amplitude and frequency boosting behaviors were explored based on a memristive system and a memristormeminductor-based circuit By these means, the positions, attractor types, amplitudes, and frequencies of the coexisting multiple attractors can be controlled [21]. When a memristor with sine memductance are introduced into a dynamical system, a question to ask is whether the memristor initial boosting behavior will be cyclical. If so, this type of memristor initial-dependent multistability can be controlled in one cycle instead of the whole initial dynamical range.
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