The case of bidirectionally coupled nonlinear circuits via a memristor

Abstract

The realization of a physical model of memristor by HP’s researchers revealed a number of applications in which memristor can be used. Probably the most interesting of these, is in neuromorphic computing circuits, in which this new element could be used as an artificial synapse. So, in this work, a first step to this approach by studying the effect of using an HP memristor in the coupling branch of two nonlinear circuits is made. As a circuit, the Chua’s oscillator is chosen. The two identical circuits are coupled bidirectionally via the proposed memristor, in which two different window functions have been used. Simulation results show an interesting dynamic behavior, which, among others confirm the complete chaotic synchronization achieved through the memristor, depending on system’s initial conditions, the chosen window function and the memristor’s parameters.