Dia: Dimecres, 26 d'abril de 2017
Lloc: Aula S01, Facultat de Matemàtiques i Estadística, UPC.
A càrrec de: Sinisa Slijepcevic, Universitat de Zagreb
Títol: Variational approach to description of instabilities in Hamiltonian dynamics
Resum: We propose a new variational tool for construction of invariant sets of Lagrangian dynamical systems with positive Lyapunov exponents, based on recent advances in the theory of evolutionary PDEs on unbounded domains. Examples include: 1) a measure of instability of a Mather set of a twist map which generalizes both the angle of splitting of separatrices and the flux through a gap in a Cantori; 2) construction of uncountably many positive entropy invariant measures in the Arnold's 2½ degrees of freedom flow (the Arnold diffusion example).
Last updated: Fri Apr 21 11:35:59 2017