High-Degree Polynomial Integrals of a Natural System on the Two-Dimensional Torus Full article
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Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260 |
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| Output data | Year: 2023, Volume: 64, Number: 2, Pages: 261–268 Pages count : 8 DOI: 10.1134/S0037446623020015 | ||||
| Tags | natural mechanical system, first integral polynomial in momenta, spectrum of the potential | ||||
| 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 on the two-dimensional torus which admits an addi-tional first integral polynomial in momenta of an odd degree Nand independent of the energy integral. For N=5,7, we obtain the estimates on the number of straight lines in the spectrum of the potential
Cite:
Agapov S.V.
High-Degree Polynomial Integrals of a Natural System on the Two-Dimensional Torus
Siberian Mathematical Journal. 2023. V.64. N2. P.261–268. DOI: 10.1134/S0037446623020015 WOS Scopus РИНЦ OpenAlex
High-Degree Polynomial Integrals of a Natural System on the Two-Dimensional Torus
Siberian Mathematical Journal. 2023. V.64. N2. P.261–268. DOI: 10.1134/S0037446623020015 WOS Scopus РИНЦ OpenAlex
Original:
Агапов С.В.
Полиномиальные интегралы высокой степени натуральной системы на двумерном торе.
Сибирский математический журнал. 2023. Т.64. №2. С.243-251. DOI: 10.33048/smzh.2023.64.201 РИНЦ
Полиномиальные интегралы высокой степени натуральной системы на двумерном торе.
Сибирский математический журнал. 2023. Т.64. №2. С.243-251. DOI: 10.33048/smzh.2023.64.201 РИНЦ
Dates:
| Submitted: | Jul 13, 2022 |
| Accepted: | Aug 15, 2022 |
| Published print: | Mar 24, 2023 |
| Published online: | Apr 24, 2023 |
Identifiers:
| Web of science: | WOS:000984262300001 |
| Scopus: | 2-s2.0-85151085100 |
| Elibrary: | 61189424 |
| OpenAlex: | W4360831411 |