Morse predecomposition of an ivariant set
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866915036754083840 |
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| author | Lipiński, Michał Mischaikow, Konstantin Mrozek, Marian |
| author_facet | Lipiński, Michał Mischaikow, Konstantin Mrozek, Marian |
| contents | Motivated by the study of the recurrent orbits in a Morse set of a Morse decomposition, we introduce the concept of Morse predecomposition of an isolated invariant set in the setting of combinatorial and classical dynamical systems. We prove that a Morse predecomposition indexed by a poset is a Morse decomposition and we show how a Morse predecomposition may be condensed back to a Morse decomposition. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_08013 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Morse predecomposition of an ivariant set Lipiński, Michał Mischaikow, Konstantin Mrozek, Marian Dynamical Systems 37B30 37B20 37B35 Motivated by the study of the recurrent orbits in a Morse set of a Morse decomposition, we introduce the concept of Morse predecomposition of an isolated invariant set in the setting of combinatorial and classical dynamical systems. We prove that a Morse predecomposition indexed by a poset is a Morse decomposition and we show how a Morse predecomposition may be condensed back to a Morse decomposition. |
| title | Morse predecomposition of an ivariant set |
| topic | Dynamical Systems 37B30 37B20 37B35 |
| url | https://arxiv.org/abs/2312.08013 |