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Density of recurrent points on invariant manifolds of symplectic and volume-preserving diffeomorphisms

  • FERNANDO OLIVEIRA (a1)

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.

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Density of recurrent points on invariant manifolds of symplectic and volume-preserving diffeomorphisms

  • FERNANDO OLIVEIRA (a1)

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