A topological degree for orbits connecting critical points of autonomous systems
A topological degree for orbits connecting critical points of autonomous systems
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DOI：
10.1016/0022-0396(80)90003-0
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发表时间：
1980-11
影响因子：
2.4
通讯作者：
M. Mock
中科院分区：
文献类型：
--
作者：
M. Mock
基于拓扑度的论证用于获得连接自治系统的两个临界点的轨道的存在定理。该结果应用于非线性守恒定律系统弱解中近似冲击波的粘性分布的存在性。还获得了两个临界点的莫尔斯指数相差大于1的情况的结果。
An argument based on topological degree is used to obtain an existence theorem for orbits connecting two critical points of an autonomous system. The result is applied to the existence of viscous profiles approximating shock waves in weak solutions of systems of nonlinear conservation laws. A result for the case where the Morse indices of the two critical points differ by more than one is also obtained.