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

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

2006-10-16

arxiv.org/abs/nlin/0610037v1

Nonlinear Sciences

Pattern Formation and Solitons

7 figures, 7 pages

Scientific paper

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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