Chaotic Dynamics from a Nonlinear Circuit based on Memristor with Cubic Nonlinearity

In this work, we present the study via computer simulations of the dynamic behavior of a chaotic circuit based on a memristor. The proposed memristor is a flux controlled memristor described by the function W(h(t)), which is called memductance, and defined as, W(h) = dq(h)/dh, where q(h) is a cubic function. We discovered very important phenomena concerning the Chaos theory, such us, the great sensitivity of the circuit on initial conditions, the route to chaos through the mechanism of period doubling, and the phenomenon of coexisting attractors.