On the Rational Integrals of Two-Dimensional Natural Systems Full article
| Journal |
Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260 |
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| Output data | Year: 2023, Volume: 64, Number: 4, Pages: 787-795 Pages count : 9 DOI: 10.1134/s0037446623040018 | ||||
| Tags | natural system, potential, first integral rational in momenta, Hopf equation | ||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Russian Science Foundation | 19-11-00044 |
Abstract:
We study a natural mechanical system having an additional first integral in the form of a function rational in momenta. One of the authors has proved recently that if the configuration space of the system is the two-dimensional torus; then, provided that the potential is analytic, the existence of a rational integral with analytic periodic coefficients and small degrees of the numerator and denominator implies the existence of an integral linear in momenta. In the present article, this result is generalized to the case that the configuration space of the system is the two-dimensional plane
Cite:
Agapov S.V.
, Tursunov M.M.
On the Rational Integrals of Two-Dimensional Natural Systems
Siberian Mathematical Journal. 2023. V.64. N4. P.787-795. DOI: 10.1134/s0037446623040018 WOS Scopus РИНЦ OpenAlex
On the Rational Integrals of Two-Dimensional Natural Systems
Siberian Mathematical Journal. 2023. V.64. N4. P.787-795. DOI: 10.1134/s0037446623040018 WOS Scopus РИНЦ OpenAlex
Original:
Агапов С.В.
, Турсунов М.М.У.
О рациональных интегралах двумерных натуральных систем
Сибирский математический журнал. 2023. Т.64. №4. С.665-674. DOI: 10.33048/smzh.2023.64.401 РИНЦ
О рациональных интегралах двумерных натуральных систем
Сибирский математический журнал. 2023. Т.64. №4. С.665-674. DOI: 10.33048/smzh.2023.64.401 РИНЦ
Dates:
| Submitted: | Mar 26, 2023 |
| Accepted: | Apr 6, 2023 |
| Published print: | Jul 24, 2023 |
| Published online: | Jul 24, 2023 |
Identifiers:
| Web of science: | WOS:001035552800001 |
| Scopus: | 2-s2.0-85165587047 |
| Elibrary: | 62356295 |
| OpenAlex: | W4385192291 |
Citing:
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