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arXiv · 1510.05922

Homoclinic points of symplectic partially hyperbolic systems with 2D centre

Pengfei Zhang
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Abstract

We consider a generic symplectic partially hyperbolic diffeomorphism close to direct/skew products of symplectic Anosov diffeomorphisms with area-preserving diffeomorphisms and prove that every hyperbolic periodic point has transverse homoclinic points.

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Pengfei Zhang. 2015-10-20. Homoclinic points of symplectic partially hyperbolic systems with 2D centre. https://doi.org/10.1080/14689367.2023.2298320

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