Special Session 43: Hamiltonian Dynamics and Celestial Mechanics

Computational symplectic topology and the restricted three-body problem
Otto van Koert
Seoul National University, Department of Mathematics
Korea
Co-Author(s):    Chankyu Joung
Abstract:
In this talk we will give an overview of applications of methods from symplectic topology to Hamiltonian dynamical systems. In particular, we describe how information about periodic orbits and global surfaces of section can be obtained. After that we will outline how to apply validated numerics to get concrete results concerning the restricted three-body problem. This is joint work with Chankyu Joung.