Asymptotic effects of boundary perturbations in excitable systems
Mathematical Physics
2013-04-16 v1 math.MP
Neurons and Cognition
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.
Keywords
Cite
@article{arxiv.1304.3891,
title = {Asymptotic effects of boundary perturbations in excitable systems},
author = {M. De Angelis and P. Renno},
journal= {arXiv preprint arXiv:1304.3891},
year = {2013}
}