Quasi-periodic stability of normally resonant tori

Details Quasi-periodic stability of normally resonant tori Quasi-periodic stability of normally resonant tori

2007-08-16

arxiv.org/abs/0708.2269v3

Mathematics

Dynamical Systems

Scientific paper

We study quasi-periodic tori under a normal-internal resonance, possibly with multiple eigenvalues. Two non-degeneracy conditions play a role. The first of these generalizes invertibility of the Floquet matrix and prevents drift of the lower dimensional torus. The second condition involves a Kolmogorov-like variation of the internal frequencies and simultaneously versality of the Floquet matrix unfolding. We focus on the reversible setting, but our results carry over to the Hamiltonian and dissipative contexts.

Affiliated with

Also associated with

No associations

Rating

Quasi-periodic stability of normally resonant tori 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 Quasi-periodic stability of normally resonant tori, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quasi-periodic stability of normally resonant tori will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-333198