On November 25th, 2009, Sylvain CROVISIER defended his habilitation à diriger des recherches titled Perturbation de la dynamique de difféomorphismes en petite régularité. He first explained basic perturbation techniques: the Anosov-Katok procedure: you use more and more distorted conjugacies such that the limiting dynamics has new properties; the closing lemma of Pugh and the subsequent [...]
Posts Tagged ‘bifurcations’
Sylvain CROVISIER’s HDR
Posted in Dynamics, news, talks, tagged bifurcations, closing lemma, Dynamics, generic dynamics, partial hyperbolicity, smooth ergodic theory, topological dynamics on November 27, 2009 | Leave a Comment »
What we (don’t) know about Lozi
Posted in Dynamics, talks, tagged bifurcations, Dynamics, Lozi maps, open problems, piecewise affine dynamics, smooth ergodic theory on June 12, 2009 | Leave a Comment »
Duncan SANDS gave a talk for the Journée Affine Par Morceaux on the dynamics of Lozi maps. These are the piecewise affine homeomorphisms of the plane of the form where . Lozi introduced them as a toy model for the Hénon map, observing numerically some kind of strange attractor for . SANDS and ISHII have [...]
