paper

Hyperboliity versus partial-hyperbolicity and the transversality-torsion phenomenon

arXiv:math/0601701

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.

10 pages

Hyperboliity versus partial-hyperbolicity and the transversality-torsion phenomenon · wovepaper