Quasiperiodic Forced Oscillations of a Solid Body in the Field of a Quadratic Potential
- 作者: Parasyuk I.O.1
-
隶属关系:
- Shevchenko Kyiv National University
- 期: 卷 240, 编号 3 (2019)
- 页面: 323-341
- 栏目: Article
- URL: https://bakhtiniada.ru/1072-3374/article/view/242746
- DOI: https://doi.org/10.1007/s10958-019-04355-1
- ID: 242746
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详细
We consider a natural Lagrangian system that describes the motion of a solid body under the action of superposition of two potential force fields. The first field is a stationary field with quadratic potential, while the potential of the second field is linear in the space and depends on time as a quasiperiodic function. We establish sufficient conditions under which this system has a classical hyperbolic quasiperiodic solution, which locally minimizes the Lagrangian averaged over time.
作者简介
I. Parasyuk
Shevchenko Kyiv National University
编辑信件的主要联系方式.
Email: pio@univ.kiev.ua
乌克兰, Glushkov Avenue, 4, Kyiv, 03680
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