On attractor states in the dynamics of pulse-driven memristors

We predict the existence of attractor states in the dynamics of certain pulse-driven memristors (resistors with memory) and memristive networks [1]. A general approach to identify the attractor points in two-terminal memristive circuits driven by alternating polarity voltage or current pulses has been developed and applied to several model cases including the ideal and threshold-type memristors, as well as certain memristive networks. Potential applications of dynamical memristor attractors include the memristor initialization, associative memory, and validation of memristor models, to name a few. In particular, based on specific cases we have demonstrated that the presence or absence of attractor dynamics can be directly related to the window function used in the memristor model. This result paves the way towards a simple experimental test of memristor models, which is just one of several promising applications of dynamical memristor attractors.
[1] Y. V. Pershin and V. A. Slipko, arXiv:1808.07947 (2018).