Singular KAM Theory for Convex Hamiltonian Systems
In this note, we briefly discuss how the singular KAM theory of [7] — which was worked out for the mechanical case $$\frac{1}{2}|y|^{2}+\varepsilon f(x)$$ — can be extended to convex real-analytic nearly integrable Hamiltonian systems with Hamiltonian in action-angle variables given by $$h(y)+\varepsilon f(x)$$ with $$h$$ convex and $$f$$ generic.
Authors
- Luigi Chierchia (ORCID: https://orcid.org/0000-0002-4356-2092)
- Santiago Barbieri (ORCID: https://orcid.org/0000-0002-5630-341X)
- Luca Biasco (ORCID: https://orcid.org/0000-0002-6682-1800)
- Daniele Zaccaria (ORCID: https://orcid.org/0000-0002-9715-3796)
Institutions
- Roma Tre University (IT)
- University of Toronto (CA)
- Universitat de Girona (ES)
Publication Details
- Journal
- Regular and Chaotic Dynamics
- Published
- 2025-08-01
- DOI
- https://doi.org/10.1134/s1560354725040057
- Citations
- 1
- Primary Topic
- Quantum chaos and dynamical systems
- Type
- article
- Field-Weighted Citation Impact
- 1.32