A parametrization method for invariant manifolds of periodic orbits, with applications to the restricted three body problem.

Series
CDSNS Colloquium
Time
Monday, January 28, 2013 - 4:05pm for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Maciej Capinski – Georgia Tech and AGH Univ. Krakow – mcapinski3@mail.gatech.edu
Organizer
Maciej Capinski
We present a method for the detection of stable and unstable fibers of invariant manifolds of periodic orbits. We show how to propagate the fibers to prove transversal intersections of invariant manifolds. The method can be applied using interval arithmetic to produce rigorous, computer assisted estimates for the manifolds. We apply the method to prove transversal intersections of stable and unstable manifolds of Lyapunov orbits in the restricted three body problem.