The global structure of traveling waves in spatially discrete dynamical systems

被引：214

作者：

Mallet-Paret J. ^{[1
]}

机构：

[1] Division of Applied Mathematics, Brown University, Providence

来源：

Journal of Dynamics and Differential Equations | 1999年 / 11卷 / 1期

基金：

美国国家科学基金会;

关键词：

Continuation methods; Heteroclinic orbits; Lattice differential equations; Lin's method; Mel'nikov method; Spatially discrete systems; Traveling waves;

D O I：

10.1023/A:1021841618074

中图分类号：

学科分类号：

摘要：

We obtain existence of traveling wave solutions for a class of spatially discrete systems, namely, lattice differential equations. Uniqueness of the wave speed c, and uniqueness of the solution with c ≠ 0, are also shown. More generally, the global structure of the set of all traveling wave solutions is shown to be a smooth manifold where c ≠ 0. Convergence results for solutions are obtained at the singular perturbation limit c → 0. © 1999 Plenum Publishing Corporation.

引用

页码：49 / 127

页数：78

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