从2N到无穷多条逃逸轨道
动力系统
2023-06-16 v2 辛几何
摘要
在这篇短文中，我们证明与泛化-接触形式相关的奇异Reeb向量场具有（至少）条或无穷多条逃逸轨道，其中表示临界集的连通分支数。
引用
@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}
}
备注
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