Rational Integrals of Natural Systems in a Magnetic Field Full article
| Journal |
Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260 |
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| Output data | Year: 2025, Volume: 66, Number: 3, Pages: 609–617 Pages count : DOI: 10.1134/S0037446625030012 | ||||
| Tags | natural system, potential, magnetic field, integrability, first integral rational in momenta, Hopf equation | ||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Russian Science Foundation | 24-11-00281 |
Abstract:
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.
Cite:
Agapov S.V.
, Solov’ev D.V.
Rational Integrals of Natural Systems in a Magnetic Field
Siberian Mathematical Journal. 2025. V.66. N3. P.609–617. DOI: 10.1134/S0037446625030012 WOS Scopus РИНЦ
Rational Integrals of Natural Systems in a Magnetic Field
Siberian Mathematical Journal. 2025. V.66. N3. P.609–617. DOI: 10.1134/S0037446625030012 WOS Scopus РИНЦ
Original:
Агапов С.В.
, Соловьев Д.В.
О рациональных интегралах натуральных систем в магнитном поле
Сибирский математический журнал. 2025. Т.66. №3. С.339-348. DOI: 10.33048/smzh.2025.66.301
О рациональных интегралах натуральных систем в магнитном поле
Сибирский математический журнал. 2025. Т.66. №3. С.339-348. DOI: 10.33048/smzh.2025.66.301
Dates:
| Submitted: | Oct 8, 2024 |
| Accepted: | Apr 25, 2025 |
| Published print: | Jun 2, 2025 |
| Published online: | Jun 2, 2025 |
Identifiers:
| Web of science: | WOS:001500903100005 |
| Scopus: | 2-s2.0-105007077094 |
| Elibrary: | 82395827 |
Citing:
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