TL;DR
This paper revisits KAM theory for integrable Hamiltonian systems with multiple degrees of freedom, identifying conditions under which perturbations can destroy invariant tori.
Contribution
It provides new conditions on perturbations that lead to the destruction of invariant tori in higher-dimensional Hamiltonian systems.
Findings
Identifies specific perturbation conditions causing torus destruction
Extends KAM theory to higher degrees of freedom
Clarifies stability boundaries for invariant tori
Abstract
For an integrable Hamiltonian with degrees of freedom, we show the conditions on perturbations, for which invariant tori can be destructed.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsQuantum chaos and dynamical systems · Nonlinear Waves and Solitons · Nonlinear Photonic Systems