Dynamic Systems Seminar——On the density and openness of non-uniformly hyperbolic dynamical systems
主 题: Dynamic Systems Seminar——On the density and openness of non-uniformly hyperbolic dynamical systems
报告人: Prof. Chao Liang (Central University of Finance and Economics)
时 间: 2018-03-20 15:10-17:10
地 点: Room 104, No. 3 Teaching Building
Abstract: From the seventies, people realized that uniform hyperbolicity was less universal property than was initially thought. So the theory was extended in several distinct directions and the theory of non-uniformly hyperbolic systems(Pesin theory) was one of them. Pesin theory and the continuing research give us a rich information about geometric properties of the system. In view of these, we want to study the existence of non-zero Lyapunov exponents of smooth systems and their regularity, especially their continuity. In this talk, we will outline some of our work in this respect.