Excitable Delaunay triangulations

Details Excitable Delaunay triangulations Excitable Delaunay triangulations

2011-02-05

arxiv.org/abs/1102.1069v1

Kybernetes, 2011, Vol. 40 Iss: 5/6, pp.719 - 735

Nonlinear Sciences

Cellular Automata and Lattice Gases

Scientific paper

10.1108/03684921111142278

In an excitable Delaunay triangulation every node takes three states (resting, excited and refractory) and updates its state in discrete time depending on a ratio of excited neighbours. All nodes update their states in parallel. By varying excitability of nodes we produce a range of phenomena, including reflection of excitation wave from edge of triangulation, backfire of excitation, branching clusters of excitation and localized excitation domains. Our findings contribute to studies of propagating perturbations and waves in non-crystalline substrates.

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