The  Weizmann  Institute  of  Science
                  Faculty of Mathematics and Computer Science
 
                 Mathematical Analysis and Applications Seminar
 
                                Amadeu Delshams
                      Universitat Politècnica de Catalunya
 
                                 will speak on
 
                    The geometric mechanism of diffusion in
                     a priori unstable Hamiltonian systems
 
                     Lecture Hall, Room 1, Ziskind Building
                           on Tuesday, March 16, 2010
                                  11:00 - noon
 
Abstract:
I will review the geometric mechanism for diffusion based on the construction
of Arnold's transition chains that incorporates secondary tori, as well as a
scattering map, designed to overcome the so-called large gap problem in a
priori unstable Hamiltonian systems of two and a half degrees of freedom.  In
contrast to other types of techniques, the conditions required for the
existence of diffusion are explicit and readily verifiable, as can be checked
in concrete examples.
 
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Technion Math Net-2 (TECHMATH2)
Editor: Gershon Wolansky <techm@math.technion.ac.il>
Announcement from: Diana Mandelik <diana.mandelik@weizmann.ac.il>