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Homoclinic orbits for area preserving diffeomorphisms of surfaces
Ergodic Theory and Dynamical Systems ( IF 0.9 ) Pub Date : 2021-05-04 , DOI: 10.1017/etds.2021.40 PATRICE LE CALVEZ 1 , MARTÍN SAMBARINO 2
Ergodic Theory and Dynamical Systems ( IF 0.9 ) Pub Date : 2021-05-04 , DOI: 10.1017/etds.2021.40 PATRICE LE CALVEZ 1 , MARTÍN SAMBARINO 2
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We 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.
中文翻译:
用于保持表面微分同胚的同宿轨道
我们表明$C^r $ 一般在空间$C^r$ 紧表面的保守微分同胚,每个双曲周期点都有一个横向同宿轨道。
更新日期:2021-05-04
中文翻译:
用于保持表面微分同胚的同宿轨道
我们表明