Complex dynamical behaviors in a memcapacitor–inductor circuit

Abstract

In this present contribution, a simple chaotic oscillator based on a memcapacitor with only one equilibrium point is reported. The proposed oscillator consists of an inductor (only storage element) and a nonlinear active memcapacitor which is the key component responsible for the complex behaviors exhibited by the circuit. The resulting mathematical model is a simple jerk-type equation system that is easy to manipulate both analytically and numerically. The numerical results reveal the emergence of a plethora of phenomena such as period-doubling bifurcations, antimonotonicity, offset-boosting, and multistability giving rise to several kinds of coexisting attractors among which the coexistence of six stable states. The PSpice investigations confirm the real feasibility of the proposed circuit. The complexity of the phenomena and behaviors observed make the particularity of the proposed memcapacitor–inductor circuit and thus constitutes an enriching contribution in nonlinear dynamics.