Rational Integrals of Natural Systems in a Magnetic Field
We study natural mechanical systems on the two-dimensional plane in a magnetic field that admit an additional first integral which is rational in momenta. In this article, we construct new integrable examples of such systems and also study the problem of existence of rational integrals in the absence of a magnetic field.
Authors
- D B Solovev
- S. V. Agapov (ORCID: https://orcid.org/0009-0009-4135-5792)
Institutions
- Novosibirsk State University (RU)
- Sobolev Institute of Mathematics (RU)
Publication Details
- Journal
- Siberian Mathematical Journal
- Published
- 2025-05-01
- DOI
- https://doi.org/10.1134/s0037446625030012
- Primary Topic
- Quantum chaos and dynamical systems
- Type
- article
- Field-Weighted Citation Impact
- 0.00