Research on Memory Elements Modelling, Their Nonlinear Dynamics Analysis and Applications Design

Memory elements (mem-elements, including memristor, memcapacitor and meminductor) are promising candidates for critical future applications such as high-performance memory, logic, neuromorphic computing due to nanoscale size advantages and memory retention capabilities. Before the wide commercialisation of solid-state mem-elements, it is important and meaningful to conduct advanced research on their intrinsic nonlinear dynamics and applications with the use of emulators that can emulate behaviours of mem-elements. In this thesis, based on novel modelling of different functional mem-element emulators, nonlinear dynamics like coupling dynamics and series-parallel connections are analysed; practical applications are designed such as oscillators and chaotic circuits.