The Persistence of Invariant Tori in a Parametric Setting
In the present paper, we provide a weaker nondegenerate condition for the persistence of invariant tori in the parametrized forms for non-integrable Hamiltonian systems. This is a development of KAM following Salamon’s approach. Specifically, we establish a Rüssmann-type non-degeneracy condition for the non-integrable systems.
Authors
- Weichao Qian (ORCID: https://orcid.org/0000-0002-1022-2999)
- Cheng Cheng
Institutions
- Jilin Medical University (CN)
- Changchun University (CN)
Publication Details
- Journal
- Journal of Nonlinear Mathematical Physics
- Published
- 2026-02-27
- DOI
- https://doi.org/10.1007/s44198-026-00378-w
- Primary Topic
- Geometry and complex manifolds
- Type
- article
- Field-Weighted Citation Impact
- 0.00