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Please use this identifier to cite or link to this item: http://ir.ncue.edu.tw/ir/handle/987654321/16703

Title: Stability Analysis for Standing Pulse Solutions to FitzHugh-Nagumo Equations
Authors: Chen, Chao-Nien;Hu, Xijun
Contributors: 數學系
Date: 2013-02
Issue Date: 2013-06-05T07:32:37Z
Publisher: Springer-Verlag Berlin Heidelberg
Abstract: This paper studies standing pulse solutions to the FitzHugh-Nagumo equations. Since the reaction terms are coupled in a skew-gradient structure, a standing pulse solution is a homoclinic orbit of a second order Hamiltonian system. In this work, an index theory for the Hamiltonian system is employed to study the stability of standing pulses for the FitzHugh-Nagumo equations. Related results for more general skew-gradient systems are also obtained.
Relation: Calculus of Variations and Partial Differential Equations, : 1-19
Appears in Collections:[數學系] 期刊論文

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