Switching Synchronization and Metastable States in 1D Memristive Networks

Abstract

One-dimensional (1D) memristive networks are the simplest type of memristive networks one can imagine. Yet, despite their morphological simplicity, such networks represent an important class of memory networks characterized by the strongest interaction among the network components. This chapter reviews several important dynamical features of 1D memristive networks composed of realistic threshold-type memristive systems. First of all, the accelerated and decelerated switching regimes of memristive systems are introduced and exemplified. Secondly, the phenomenon of switching synchronization is presented. Finally, it is shown that metastable transmission lines composed of metastable memristive circuits can be used to transfer the information from one space location to another. Here, the information transfer occurs in the form of a switching front propagating along the line resembling a kink in, say, classical \(\phi ^4\) field theory model. Importantly, such memristive kinks can also be used for information processing purposes. This chapter thus reveals the triad of memristive systems functionalities in their 1D networks: information processing, storage and transfer.