Recurrence and genericity
Christian Bonatti, Sylvain Crovisier
Abstract
We prove a C1-connecting lemma for pseudo-orbits of diffeomorphisms on compact manifolds. We explore some consequences for C1-generic diffeomorphisms. For instance, C1-generic conservative diffeomorphisms are transitive. <br> Nous montrons un lemme de connexion C1 pour les pseudo-orbites des diffeomorphismes des varietes compactes. Nous explorons alors les consequences pour les diffeomorphismes C1-generiques. Par exemple, les diffeomorphismes conservatifs C1-generiques sont transitifs.
Create a lesson
Related papers
Profinite approach to S-adic shift spaces II: Invertible directive sequences
Jorge Almeida, Alfredo Costa, Herman Goulet-Ouellet
Star-shaped periodic solutions of a system of delay differential equations: A computer-assisted proof
Shoya Motonaga, Akitoshi Takayasu
Ergodic full measures and entropy spectrum for countable observables on compact spaces
Carllos Eduardo Holanda
Limit cycles of singular algebraic foliations on the real projective plane
Tianwei Gan, Hongjin He, Dongmei Xiao
Quadratic Hubbard trees, automata, and ray connections
Eduardo Ventilari Sodré
Algorithmic Non-dimensionalisation of Polynomial Dynamical Systems with CRNNondim
Georgio Hawi, Martin Wechselberger