Homoclinic bifurcations and the Floquet torus

Citation
Jc. Martin et L. Mora, Homoclinic bifurcations and the Floquet torus, ERGOD TH DY, 20, 2000, pp. 1173-1186
Citations number
9
Categorie Soggetti
Mathematics
Journal title
ERGODIC THEORY AND DYNAMICAL SYSTEMS
ISSN journal
01433857 → ACNP
Volume
20
Year of publication
2000
Part
4
Pages
1173 - 1186
Database
ISI
SICI code
0143-3857(200008)20:<1173:HBATFT>2.0.ZU;2-W
Abstract
In this paper we show that a C-r diffeomorphism having an invariant Floquet torus which is non-normally hyperbolic can be approximated, in the Cr-3 to pology, by another one which exhibits a homoclinic tangency.