A lambda-lemma for normally hyperbolic invariant manifolds

Abstract

Let $N$ be a smooth manifold and $f:N\to N$ be a $C^l$, $l\ge 2$ diffeomorphism. Let $M$ be a normally hyperbolic invariant manifold, not necessarily compact. We prove an analogue of the $\lambda$-lemma in this case.

21 pages

References in corpus (1)

• Homoclinic chaos in the dynamics of a general Bianchi IX model

Cited by in corpus (2)

• Canonical Melnikov theory for diffeomorphisms
• S^1-equivariant Morse cohomology