1304.3891 (M. De Angelis et al.)

Asymptotic effects of boundary perturbations in excitable systems    [PDF]

M. De Angelis, P. Renno

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.

View original: http://arxiv.org/abs/1304.3891