Forward and reverse asymmetric memristor-based jerk circuits

Abstract

To better demonstrate the asymmetric properties of physical memristive devices, this paper presents an asymmetric memristor emulator that is constructed by an asymmetric diode-bridge cascaded with a parallel resistor–capacitor (RC) filter. By introducing this emulator into a third-order jerk circuit in both forward and reverse ways, this paper constructs two types of asymmetric memristor-based jerk circuits. The two circuits don’t have symmetry themselves, but they are symmetric with each other. By using multiple numerical methods, parameter-associated bifurcation behaviors and initial-associated coexisting behaviors are revealed. Complex dynamics can be thereby observed from these two circuits, including period, chaos, periodic bubble, chaotic bubble, period-doubling bifurcation, antimonotonicity, and extreme event. Furthermore, Multisim circuit simulation models are established and the measured results validate the numerically simulated ones.