Concave toric domains in Stark-type mechanical systems
Abstract
It was shown that the bounded components of the energy hypersurfaces of the planer Stark problem after the Levi-Civita transformation are concave toric domains. In this paper, we present a different approach to the problem of determining concave toric domains in a family of integrable natural mechanical problems in the plane based on the computation of action-angle variables. We give criteria on the potentials for the bounded components of the energy hypersurfaces to be concave toric domains and apply these criteria to a class of problems.
Fields of Study & Subjects
Advanced Numerical Analysis Techniques
Tribology and Lubrication Engineering
Contact Mechanics and Variational Inequalities
Publication details
- Journal / source
- Kyoto journal of mathematics
- Publisher
- Duke University Press
- Volume
- 66
- Issue
- 3
- Pages
- 525-537
- Publication date
- 4 June 2026
- Language
- EN