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Homoclinic bifurcations and the Floquet torus

Published online by Cambridge University Press:  01 August 2000

J. C. MARTÍN  and
L. MORA
J. C. MARTÍN
Affiliation:
Departamento de Matemática, Universidad Simón Bolívar, Apartado Postal 89000, Caracas 1086-A, Venezuela (e-mail: jmartin@usb.ve)
L. MORA
Affiliation:
Departamento de Matemáticas, Instituto Venezolano de Investigaciones Científicas, Apartado Postal 21827, Caracas 1020-A, Venezuela (e-mail: lmora@cauchy.ivic.ve)
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Abstract

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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 $C^{r-3}$ topology, by another one which exhibits a homoclinic tangency.

Information

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 20 , Issue 4 , August 2000 , pp. 1173 - 1186
Copyright
2000 Cambridge University Press