Memristive excitable cellular automata

Adamatzky, Andrew; Chua, Leon

Abstract

The memristor is a device whose resistance changes depending on the polarity and magnitude of a voltage applied to the device's terminals. We design a minimalistic model of a regular network of memristors using structurally-dynamic cellular automata. Each cell gets info about states of its closest neighbors via incoming links. A link can be "conductive" or "nonconductive". States of every link are updated depending on the states of cells the link connects. Every cell of a memristive automaton assumes three states: resting, excited (analog of positive polarity) and refractory (analog of negative polarity). A cell updates its state depending on states of its closest neighbors which are connected to the cell via "conductive" links. We study behavior of memristive automata in response to point-wise and spatially extended perturbations, structure of localized excitations coupled with topological defects, interfacial mobile excitations and growth of information pathways. © 2011 World Scientific Publishing Company.

• Journal Article Type: Review
• Publication Date: Jan 1, 2011
• Journal: International Journal of Bifurcation and Chaos
• Print ISSN: 0218-1274
• Electronic ISSN: 1793-6551
• Publisher: World Scientific Publishing
• Peer Reviewed: Peer Reviewed
• Volume: 21
• Issue: 11
• Pages: 3083-3102
• DOI: https://doi.org/10.1142/S0218127411030611
• Public URL: https://uwe-repository.worktribe.com/output/957644
• Publisher URL: http://arxiv.org/abs/1111.2940