Document Type
Lecture
Publication Date
11-5-2015
Abstract
In this talk, we show the existence of non contractible periodic orbits in Hamiltonian systems defined on T*��n separating two Lagrangian tori under certain cone assumption. Our result answers a question of Polterovich (Symplectic intersections and invariant measures, Annales mathematiques du Quebec (2014)). As an application, we find periodic orbits of almost all the homotopy types on a dense set of energy level in Lorentzian type mechanical Hamiltonian system. This solves a problem of Arnold (Mathematical problems in classical physics. Trends and perspectives in applied mathematics, Appl. Math. Sci., vol. 100, Springer, New York, (1994)).
Relational Format
presentation
Recommended Citation
Xue, Jinxin, "Existence of noncontractible periodic orbits of Hamiltonian system separating two Lagrangian tori on T*��n" (2015). Dynamical Systems Seminar. 10.
https://egrove.olemiss.edu/math_dynamical/10
