From 2N to infinitely many escape orbits

From 2N to infinitely many escape orbits

Regular and Chaotic Dynamics, 2023 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.

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Hauptverfasser: Fontana-McNally, Josep, Miranda, Eva, Oms, Cédric, Peralta-Salas, Daniel
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Dynamical Systems
Mathematics - Symplectic Geometry
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Zusammenfassung:Regular and Chaotic Dynamics, 2023 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.
DOI:10.48550/arxiv.2303.17690