| 吴微.行波的稳定性[J].数学研究及应用,1994,14(3):319~326 |
| 行波的稳定性 |
| Stability of Travelling Waves |
| 投稿时间：1992-03-11 |
| DOI：10.3770/j.issn:1000-341X.1994.03.001 |
| 中文关键词: |
| 英文关键词:stability travelling waves nonlinear ODE O（2） symmetry extendedsystem |
| 基金项目: |
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| 中文摘要: |
| 文［１］引入一种扩充系统用来计算带Ｏ（２）对称性的非线性常微分方程的行波（或回转波）．本文证明，这些行波的稳定性由扩充系统的特征值来决定，其机理与通常的静态解的稳定性的判别相同． |
| 英文摘要: |
| An extended system was introduced in[1]for the computation of travellingwave (or rotating wave) solutions of nonlinear ODE's with O(2) symmetry. In this paperwe show that the stability of the travelling waves can be determined by the eigenvaluesof the extended system in a way similar io the situation for the stability of usual steady-state solutions. |
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