Memristors: A New Approach in Nonlinear Circuits Design

The conception of memristor as the fourth fundamental component in circuit theory, creates a new approach in nonlinear circuit design. In this paper the complex dynamics of Chua’s canonical circuit implemented by using a memristor instead of the nonlinear resistor, was studied. The proposed memristor is a flux-controlled one, described by the function W(φ) = dq(φ) dφ , where q(φ) is a cubic function. Computer simulation of the dynamic behaviour of a Chua circuit incorporating a memristor, confirmed very important phenomena concerning Chaos Theory, such us, the great sensitivity of circuit behavior on initial conditions, the route to chaos through the mechanism of period doubling, as well as antimonotonicity. Key-Words: Memristor, nonlinear circuits, period doubling, antimonotonicity.