On excitable beta-skeletons
Abstract
A beta-skeleton is a planar proximity undirected graph of an Euclidean point set where nodes are connected by an edge if their lune-based neighborhood contains no other points of the given set. Parameter determines size and shape of the nodes' neighborhoods. In an excitable beta-skeleton every node takes three states --- resting, excited and refractory, and updates its state in discrete time depending on states of its neighbors. We design families of beta-skeletons with absolute and relative thresholds of excitability and demonstrate that several distinct classes of space-time excitation dynamics can be selected using beta. The classes include spiral and target waves of excitation, branching domains of excitation and oscillating localizations.
Cite
@article{arxiv.1007.0054,
title = {On excitable beta-skeletons},
author = {Andrew Adamatzky},
journal= {arXiv preprint arXiv:1007.0054},
year = {2010}
}