The recurrence and the gradient-like structure of a flow |
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| Authors: | Xiaoxia Wang Zuguo He |
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| Institution: | 1. Department of Mathematics, School of Science, Beijing Jiaotong University, 100044, Beijing, P. R. China
2. School of Science, Beijing University of Posts and Telecommunications, 100876, Beijing, P. R. China
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| Abstract: | In this paper, some new properties of the nonwandering set, the partial order set, the chain recurrent set and the generalized recurrent set of a flow are proved. A new characterization of the gradient-like part of a flow is given. Some results of Conley are generalized. |
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