Article contents
Density of recurrent points on invariant manifolds of symplectic and volume-preserving diffeomorphisms
Published online by Cambridge University Press: 19 June 2002
Abstract
In this paper we consider symplectic and volume-preserving diffeomorphisms of compact manifolds, and prove that, C^{r} generically, 1\leq r\leq\infty, the invariant manifolds of hyperbolic periodic points contain a dense subset of recurrent points. As a consequence, each of these invariant manifolds is contained in its omega limit set, and its closure is a chain transitive set.
- Type
- Research Article
- Information
- Copyright
- 2002 Cambridge University Press
- 1
- Cited by