From 2N to infinitely many escape orbits
| Autor: | Fontana-McNally, Josep, Miranda, Eva, Oms, Cédric, Peralta-Salas, Daniel |
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| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | Regular and Chaotic Dynamics, 2023 |
| Druh dokumentu: | Working Paper |
| Popis: | In this short note, we prove that singular Reeb vector fields associated with generic $b$-contact forms have either (at least) $2N$ or an infinite number of escape orbits, where $N$ denotes the number of connected components of the critical set. Comment: 16 pages, for Alain Chenciner on his 2N-birthday. The article has undergone substantial improvement incorporating stronger results and introducing a novel count of escape orbits with multiplicity |
| Databáze: | arXiv |
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