The Motion of Weakly Interacting Pulses in Reaction-Diffusion Systems

被引：109
作者：
Ei S.-I. [1 ]
机构：
[1] Graduate School of Integrated Science, Yokohama City University
来源：
Journal of Dynamics and Differential Equations | 2002年 / 14卷 / 1期
关键词：
Interaction of fronts; Interaction of pulses; Reaction-diffusion systems;
D O I：
10.1023/A:1012980128575
中图分类号：
学科分类号：
摘要：
The interaction of stable pulse solutions on R1 is considered when distances between pulses are sufficiently large. We construct an attractive local invariant manifold giving the dynamics of interacting pulses in a mathematically rigorous way. The equations describing the flow on the manifold is also given in an explicit form. By it, we can easily analyze the movement of pulses such as repulsiveness, attractivity and/or the existence of bound states of pulses. Interaction of front solutions are also treated in a similar way. © 2002 Plenum Publishing Corporation.
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页码：85 / 137
页数：52
相关论文
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