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arXiv · 1304.3891

Asymptotic effects of boundary perturbations in excitable systems

M. De Angelis·P. Renno
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Abstract

A Neumann problem in the strip for the Fitzhugh Nagumo system is consid- ered. The transformation in a non linear integral equation permits to deduce a priori estimates for the solution. A complete asymptotic analysis shows that for large t the effects of the initial data vanish while the effects of bound- ary disturbances depend on the properties of the data. When they are convergent for large t, the solution is everywhere bounded; when theirs first derivatives belong to L one too, the effects are vanishing.

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M. De Angelis, P. Renno. 2013-04-14. Asymptotic effects of boundary perturbations in excitable systems. https://arxiv.org/abs/1304.3891

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