Unfolding nonlinear dynamics in computing systems with mem-elements

Abstract

Goal of the paper is to investigate the analogue computational capabilities of dynamic networks with mem-elements. A relevant class of networks containing memristors and (possibly) nonlinear capacitors and inductors is considered. The paper unfolds the nonlinear dynamics of these networks by highlighting some main features that are potentially useful for real-time signal processing and in-memory computing. These include the presence of bifurcations without parameters and the coexistence of different regimes and complex dynamics. The analysis is conducted by means of a recently developed technique named flux-charge analysis method.