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題名: | Stability Analysis for Standing Pulse Solutions to FitzHugh-Nagumo Equations |
作者: | Chen, Chao-Nien;Hu, Xijun |
貢獻者: | 數學系 |
日期: | 2013-02
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上傳時間: | 2013-06-05T07:32:37Z
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出版者: | Springer-Verlag Berlin Heidelberg |
摘要: | 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. |
關聯: | Calculus of Variations and Partial Differential Equations, : 1-19 |
顯示於類別: | [數學系] 期刊論文
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