The Persistence of Invariant Tori in a Parametric Setting
Abstract
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.
Fields of Study & Subjects
Mathematical Dynamics and Fractals
Advanced Differential Equations and Dynamical Systems
Advanced Mathematical Physics Problems
Publication details
- Journal / source
- Journal of Nonlinear Mathematical Physics
- Volume
- 33
- Issue
- 1
- Publication date
- 27 February 2026
- Language
- EN