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Type: Artigo de periódico
Title: Fitzhugh-nagumo System: Boundedness And Convergence To Equilibrium
Author: Lopes O.
Abstract: In this paper, we give conditions under which the solutions of the FitzHugh-Nagumo system,vt = Δv + f(v) - u, ut = σv - γu, are bounded and/or converge to zero in the spacesC0(ℝn) orC0(ℝn) ∩L2(ℝn). New techniques have to be developed because the method of invariant rectangles cannot be used in the present situation. We also show how to handle some more general systems of the form:∂vi/∂t= diΔvi + fi(v, u),∂u/∂t= Au + Bv. © 1982 Academic Press, Inc. All Rights Reserved.
Rights: fechado
Identifier DOI: 10.1016/0022-0396(82)90004-3
Date Issue: 1982
Appears in Collections:Unicamp - Artigos e Outros Documentos

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