From 2N to infinitely many escape orbits
Dynamical Systems
2023-06-16 v2 Symplectic Geometry
Abstract
In this short note, we prove that singular Reeb vector fields associated with generic -contact forms have either (at least) or an infinite number of escape orbits, where denotes the number of connected components of the critical set.
Cite
@article{arxiv.2303.17690,
title = {From 2N to infinitely many escape orbits},
author = {Josep Fontana-McNally and Eva Miranda and Cédric Oms and Daniel Peralta-Salas},
journal= {arXiv preprint arXiv:2303.17690},
year = {2023}
}
Comments
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