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arxiv: nlin/0610037 · v1 · submitted 2006-10-16 · 🌊 nlin.PS · nlin.AO

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

classification 🌊 nlin.PS nlin.AO
keywords spatialpropagationwavefiniteinstabilitiesinteractionslocalsystems
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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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