Periodic points and homoclinic classes
Résumé
We prove that there is a residual subset I of Diff such that any homoclinic class of a diffeomorphism f in I having saddles of indices alpha and beta contains a dense subset of saddles of index tau for every tau in [alpha,beta] cap NN. We also derive some consequences from this result about the Lyapunov exponents of periodic points and the sort of bifurcations inside homoclinic classes of generic diffeomorphisms.
Domaines
Systèmes dynamiques [math.DS]| Origine | Fichiers produits par l'(les) auteur(s) |
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