A Version of Thirring's Approach to the KAM Theorem for Quadratic Hamiltonians with Degenerate Twist

Details A Version of Thirring's Approach to the KAM Theorem for Quadratic Hamiltonians with Degenerate Twist A Version of Thirring's Approach to the KAM Theorem for Quadratic Hamiltonians with Degenerate Twist

1998-03-04

arxiv.org/abs/chao-dyn/9803005v2

J.Math.Phys. 39, 5856 (1998)

Nonlinear Sciences

Chaotic Dynamics

6 pages, RevTex

Scientific paper

10.1063/1.532599

We give a proof of the KAM theorem on the existence of invariant tori for weakly perturbed Hamiltonian systems, based on Thirring's approach for Hamiltonians that are quadratic in the action variables. The main point of this approach is that the iteration of canonical transformations on which the proof is based stays within the space of quadratic Hamiltonians. We show that Thirring's proof for nondegenerate Hamiltonians can be adapted to Hamiltonians with degenerate twist. This case, in fact, drastically simplifies Thirring's proof.

Affiliated with

Also associated with

No associations

Rating

A Version of Thirring's Approach to the KAM Theorem for Quadratic Hamiltonians with Degenerate Twist 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 A Version of Thirring's Approach to the KAM Theorem for Quadratic Hamiltonians with Degenerate Twist, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Version of Thirring's Approach to the KAM Theorem for Quadratic Hamiltonians with Degenerate Twist will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-22299