Degenerate elliptic resonances

Details Degenerate elliptic resonances Degenerate elliptic resonances

2004-05-21

arxiv.org/abs/math/0405420v1

Mathematics

Dynamical Systems

Scientific paper

Quasi-periodic motions on invariant tori of an integrable system of dimension smaller than half the phase space dimension may continue to exists after small perturbations. The parametric equations of the invariant tori can often be computed as formal power series in the perturbation parameter and can be given a meaning via resummations. Here we prove that, for a class of elliptic tori, a resummation algorithm can be devised and proved to be convergent, thus extending to such lower-dimensional invariant tori the methods employed to prove convergence of the Lindstedt series either for the maximal (i.e. KAM) tori or for the hyperbolic lower-dimensional invariant tori.

Affiliated with

Also associated with

No associations

Rating

Degenerate elliptic resonances does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Degenerate elliptic resonances, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Degenerate elliptic resonances will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-679959