Back to Search
Start Over
Quasiperiodic Poincaré persistence at high degeneracy.
- Source :
-
Advances in Mathematics . Jan2024, Vol. 436, pN.PAG-N.PAG. 1p. - Publication Year :
- 2024
-
Abstract
- For Hamiltonian systems with high-order degenerate perturbation, we study the persistence of resonant invariant tori, where the resonant tori might be elliptic, hyperbolic or mixed types. As a consequence, we prove a quasiperiodic Poincaré theorem at high degeneracy. This answers a long standing conjecture on the persistence of resonant invariant tori in general situations. [ABSTRACT FROM AUTHOR]
- Subjects :
- *HAMILTONIAN systems
*TORUS
Subjects
Details
- Language :
- English
- ISSN :
- 00018708
- Volume :
- 436
- Database :
- Academic Search Index
- Journal :
- Advances in Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 174338809
- Full Text :
- https://doi.org/10.1016/j.aim.2023.109399