Local excitation-lateral inhibition interaction yields wave instabilities in spatial systems involving finite propagation delay

2006/10/16 by Axel Hutt, Hutt, Axel
Physics and Astronomy · #Adaptation and Self-Organizing Systems (nlin.AO) #FOS: Physical sciences #Pattern Formation and Solitons (nlin.PS) #nlin.AO #nlin.PS

paper · pdf · doi:10.48550/arxiv.nlin/0610037

7 figures, 7 pages

arxiv created 2006/10/16 · arxiv updated 2009/12/01

Abstract

The work studies wave activity in spatial systems, which exhibit nonlocal spatial interactions at the presence of a finite propagation speed. We find analytically propagation delay-induced wave instabilities for various local excitatory and lateral inhibitory spatial interactions. The final numerical simulation confirms the analytical results.

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