Abundance of flexible periodic points in partially hyperbolic systems (joint work with C. Bonatti (Universite de Bourgogne))

Date
2015/04/24 Fri 14:00 - 17:00
Room
6号館609号室
Speaker
Katsutoshi SHINOHARA
Affiliation
Tokyo Metropolitan University
Abstract

We say that a hyperbolic periodic point is ε-flexible if we can change the position of its strong stable manifold into arbitrarily chosen one in a fundamental domain (which is fixed beforehand) by a C^1-ε small perturbation. In this talk, starting from the motivation, we show the abundance of ε-flexible points with arbitrarily small ε in certain kind of partially hyperbolic systems.