A KAM Theorem for a Class of Reversible Systems With a Large Perturbation
ABSTRACT In the present paper, for a class of reversible systems with a large nonautonomous perturbation, we prove that there is an invariant torus for almost all given Diophantine frequency vectors. As for application, we also prove that the solution of some finite dimensional reversible systems is bounded for almost all initial data.
Authors
- Lu Chen (ORCID: https://orcid.org/0000-0002-5491-1841)
Institutions
- Quzhou University (CN)
Publication Details
- Journal
- Mathematical Methods in the Applied Sciences
- Published
- 2025-02-13
- DOI
- https://doi.org/10.1002/mma.10780
- Primary Topic
- Quantum chaos and dynamical systems
- Type
- article
- Field-Weighted Citation Impact
- 0.00