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http://hdl.handle.net/11701/37111
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Поле DC | Значение | Язык |
---|---|---|
dc.contributor.author | Kuleshov, Alexander S. | - |
dc.contributor.author | Pikunova, Elizaveta N. | - |
dc.date.accessioned | 2022-07-08T08:58:13Z | - |
dc.date.available | 2022-07-08T08:58:13Z | - |
dc.date.issued | 2022-06 | - |
dc.identifier.citation | Kuleshov A. S., Pikunova E.N. Analytical research of the Hopf bifurcation in the problem of motion of the rattleback. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2022, vol. 9 (67), issue 2, pp. 305–316. | en_GB |
dc.identifier.other | https://doi.org/10.21638/spbu01.2022.211 | - |
dc.identifier.uri | http://hdl.handle.net/11701/37111 | - |
dc.description.abstract | We consider the classical problem of the nonholonomic system dynamics — the problem of motion of a heavy rigid body on an perfectly rough horizontal plane. The effect of loss of stability of permanent rotation of a body at a certain critical value of its angular velocity is discussed. It is proved that this effect is accompanied by the occurrence of periodic motions of the body with a frequency close to the critical value, that is, the Hopf bifurcation takes place. It is proved by direct calculation of the first Lyapunov coefficient that the corresponding periodic motions are unstable. | en_GB |
dc.description.sponsorship | This work was supported by the Russian Foundation for Basic Research (project no. 20-01-00637). | en_GB |
dc.language.iso | ru | en_GB |
dc.publisher | St Petersburg State University | en_GB |
dc.relation.ispartofseries | Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 9 (67); Issue 2 | - |
dc.subject | rattleback | en_GB |
dc.subject | rolling without sliding | en_GB |
dc.subject | permanent rotations | en_GB |
dc.subject | Hopf bifurcation | en_GB |
dc.title | Analytical research of the Hopf bifurcation in the problem of motion of the rattleback | en_GB |
dc.type | Article | en_GB |
Располагается в коллекциях: | Issue 2 |
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Файл | Описание | Размер | Формат | |
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305-316.pdf | 317,89 kB | Adobe PDF | Просмотреть/Открыть |
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