Homoclinic orbits for area preserving diffeomorphisms of surfaces

Author:

LE CALVEZ PATRICE,SAMBARINO MARTÍN

Abstract

AbstractWe show that $C^r $ generically in the space of $C^r$ conservative diffeomorphisms of a compact surface, every hyperbolic periodic point has a transverse homoclinic orbit.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,General Mathematics

Cited by 6 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Generic properties of $3$-dimensional Reeb flows: Birkhoff sections and entropy;Commentarii Mathematici Helvetici;2024-07-10

2. On the generic behavior of the spectral norm;Pacific Journal of Mathematics;2024-04-16

3. Birkhoff Program for Geodesic Flows of Surfaces and Applications: Homoclinics;Journal of Dynamics and Differential Equations;2024-03-09

4. On the growth of the Floer barcode;Journal of Modern Dynamics;2024

5. Homoclinic points of symplectic partially hyperbolic systems with 2D centre;Dynamical Systems;2023-12-27

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