Title: Shadowing and Diffusion in Hamiltonian Systems
Speaker: Marian Gidea
Speaker Info: NEIU
Brief Description:
Special Note:
Abstract:
We will discuss some topological methods to prove the existence of shadowing orbits, i.e. orbits with prescribed itineraries, in monotone twist mappings of the annulus. We will also apply topological methods to show the existence of diffusing orbits, i.e., orbits that travel `far' and `chaotically' with respect to the action variable, in certain Hamiltonian systems close to integrable.Date: Tuesday, March 02, 2010