Dynamics Seminar

Event Information Homoclinic and Heteroclinic Orbits of Monotone Twist Maps
15:10 on Monday March 24, 2014
16:00 on Monday March 24, 2014
BA6183, Bahen Center, 40 St. George St.
Guowei Yu

University of Toronto

Using variational method, we showed the existence of infinitely many homoclinic and heteroclinic orbits. They are between two periodic neighboring minimal orbits with the same rotation number of a monotone twist map, which indicates chaotic dynamics. The result applies to geodesics on 2-dim torus as well.