Asymptotic effects of boundary perturbations in excitable systems
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چکیده
A Neumann problem in the strip for the Fitzhugh Nagumo system is considered. 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 boundary disturbances φ1(t), φ2(t) depend on the properties of the data. When φ1, φ2 are convergent for large t , the solution is everywhere bounded; when φ̇i ∈ L1(0,∞)(i = 1, 2) too, the effects are vanishing.
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تاریخ انتشار 2013