8 citations · 21 across the 5 of their papers we have counts for
5 papers
Rotation numbers of perturbations of smooth dynamics
Nicolas Gourmelon
We show how the small perturbations of a linear cocycle have a relative rotation number associated with an invariant measure of the base dynamics an with a -dimensional bundle o…
Steps towards a classification of -generic dynamics close to homoclinic points
Nicolas Gourmelon
We present here the first part of a program for a classification of the generic dynamics close to homoclinic and heteroclinic points, in the topologies, . This paper…
An Isotopic Perturbation Lemma Along Periodic Orbits
Nicolas Gourmelon
A well-known lemma by John Franks asserts that one obtains any perturbation of the derivative of a diffeomorphism along a periodic orbit by a -perturbation of the whole diffeo…
Tame dynamics and robust transitivity
Christian Bonatti, Sylvain Crovisier, Nicolas Gourmelon +1
One main task of smooth dynamical systems consists in finding a good decomposition into elementary pieces of the dynamics. This paper contributes to the study of chain-recurrence c…
Internal perturbations of homoclinic classes:non-domination, cycles, and self-replication
Ch. Bonatti, S. Crovisier, L. J. Díaz +1
Conditions are provided under which lack of domination of a homoclinic class yields robust heterodimensional cycles. Moreover, so-called viral homoclinic classes are studied. Viral…