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
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creator Fontana-McNally, Josep
Miranda, Eva
Oms, Cédric
Peralta-Salas, Daniel
description 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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title From 2N to infinitely many escape orbits
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