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

Axel Hutt

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arXiv · nlin/0610037

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

Axel Hutt

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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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Axel Hutt. 2006-10-16. Local excitation-lateral inhibition interaction yields wave instabilities in spatial systems involving finite propagation delay. https://arxiv.org/abs/nlin/0610037

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