Local excitation-lateral inhibition interaction yields oscillatory instabilities in nonlocally interacting systems involving finite propagation delay

Axel Hutt 1
1 CORTEX - Neuromimetic intelligence
INRIA Lorraine, LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
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 oscillatory instabilities for various local excitatory and lateral inhibitory spatial interactions. Further, the work shows for general nonlocal interactions analytically that the first kernel Fourier moment defines the stability thresholds. The final numerical simulation confirms the analytical results.
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Article dans une revue
Physics Letters A, Elsevier, 2008, 372 (5), pp.541-546. 〈10.1016/j.physleta.2007.08.018〉
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https://hal.inria.fr/inria-00332987
Contributeur : Axel Hutt <>
Soumis le : mercredi 22 octobre 2008 - 11:02:17
Dernière modification le : jeudi 11 janvier 2018 - 06:19:48

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Axel Hutt. Local excitation-lateral inhibition interaction yields oscillatory instabilities in nonlocally interacting systems involving finite propagation delay. Physics Letters A, Elsevier, 2008, 372 (5), pp.541-546. 〈10.1016/j.physleta.2007.08.018〉. 〈inria-00332987〉

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