arXiv Analytics

Sign in

arXiv:math/0301068 [math.DS]AbstractReferencesReviewsResources

The quasi-periodic stability condition (the KAM theorem) for partially-integrable systems

G. Sardanashvily

Published 2003-01-08Version 1

Written with respect to an appropriate Poisson structure, a partially integrable Hamiltonian system is viewed as a completely integrable system with parameters. Then, the theorem on quasi-periodic stability in Ref. [1] (the KAM theorem) can be applied to this system.

Comments: 4 pages
Categories: math.DS, math-ph, math.MP
Subjects: 37J40, 70H08
Related articles: Most relevant | Search more
arXiv:2210.04383 [math.DS] (Published 2022-10-10, updated 2023-01-19)
KAM theorem on modulus of continuity about parameter
arXiv:math/0606459 [math.DS] (Published 2006-06-19)
A KAM theorem with applications to partial equations of higher dimension
arXiv:math/0305264 [math.DS] (Published 2003-05-19)
KAM Theorem for Gevrey Hamiltonians

Links

Toolbox