Edge of Chaos Theory Explains Complex Phenomena in Memristor Circuits

Edge of Chaos theory explains complex phenomena in memristor circuits design and unconventional computing. This chapter discusses the complex necessary conditions of designing systems built with memristors. It also discusses the development of a systematic and rigorous approach to design bio-inspired circuits with the small-signal memristive amplifiers outlining the conditions for system complexity according to the theory of Local Activity and Edge of Chaos. The Edge of Chaos theory is interpreted as a new physics principle which extends the Second Law of Thermodynamics to open systems. The principle explains the hidden mechanisms underlying the emergence of Heterogeneous patterns in Homogeneous Media. Memristor may be grouped in two classes: those, which may store data, named non- volatile memristors, and those, which are unable to store data, named volatile memristors. The Local Activity Principle is universal, and, as a result, may be applied to explain complex phenomena in physical systems from any field, including biology, electronics, physics, chemistry, and meteorology.