Complex dynamics in neuromorphic memristor circuits

A deep study of the nonlinear dynamics of nonlinear circuits with memristors represents a fundamental step towards the development of memristor-based systems for bio-inspired applications and dense nonvolatile memories. A rich variety of complex dynamic behaviors, including chaos, may be observed even in a simple memristor oscillator. This article is organized according to the regulations of the ECCTD 2013 Special Sessions. We present a short summary of the state-of-the-art of memristor theory, model and applications. In addition, we briefly introduce a comprehensive Nonlinear Circuit Theory-based foundation for circuit implementation of the Hodgkin-Huxley neural model with memristors.