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Hyperboliity versus partial-hyperbolicity and the transversality-torsion phenomenon

Jacky Cresson·Christophe Guillet
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Abstract

In this paper, we describe a process to create hyperbolicity in the neighbourhood of a homoclinic orbit to a partially hyperbolic torus for three degrres of freedom Hamiltonian systems: the transversality-torsion phenomenon.

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Jacky Cresson, Christophe Guillet. 2006-01-28. Hyperboliity versus partial-hyperbolicity and the transversality-torsion phenomenon. https://arxiv.org/abs/math/0601701

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