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Hyperboliity versus partial-hyperbolicity and the transversality-torsion phenomenon

Research paper by Jacky Cresson, Christophe Guillet

Indexed on: 28 Jan '06Published on: 28 Jan '06Published in: Mathematics - Dynamical Systems



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.