First integrals that are polynomial in momenta for a mechanical system on a two-dimensional torus-Reference-Cited by-同舟云学术

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First integrals that are polynomial in momenta for a mechanical system on a two-dimensional torus

Published:1988 Issue:4 Volume:21 Page:310-312
ISSN:0016-2663
Container-title:Functional Analysis and Its Applications
language:en
Short-container-title:Funct Anal Its Appl

Author:

Byalyi M. L.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Link

http://link.springer.com/content/pdf/10.1007/BF01077805.pdf

Reference4 articles.

1. V. I. Arnol'd, Mathematical Methods of Classical Mechanics [in Russian], Nauka, Moscow (1979).

2. E. Whittaker, A Treatise on the Analytical Dynamics of Particles and Rigid Bodies, Cambridge Univ. Press (1937).

3. V. N. Kolokol'tsev, Izv. Akad. Nauk SSSR, Ser. Mat.,46, No. 5, 994?1010 (1982).

4. V. V. Kozlov, Dokl. Akad. Nauk SSSR,249, No. 6, 1299?1302 (1979).

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2. High-Degree Polynomial Integrals of a Natural System on the Two-Dimensional Torus;Siberian Mathematical Journal;2023-03

3. Discrete symmetries of equations of dynamics with polynomial integrals of higher degrees;Izvestiya: Mathematics;2023

4. Discrete symmetries of equations of dynamics with polynomial integrals of higher degrees;Известия Российской академии наук. Серия математическая;2023

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