电邮这篇文章 On fourth-degree polynomial integrals of the Birkhoff billiard
- 作者: Bialy M.1, Mironov A.E.2
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隶属关系:
- Tel-Aviv University
- Sobolev Institute of Mathematics
- 期: 卷 295, 编号 1 (2016)
- 页面: 27-32
- 栏目: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/174120
- DOI: https://doi.org/10.1134/S0081543816080022
- ID: 174120
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详细
We study the Birkhoff billiard in a convex domain with a smooth boundary γ. We show that if this dynamical system has an integral which is polynomial in velocities of degree 4 and is independent with the velocity norm, then γ is an ellipse.
作者简介
M. Bialy
Tel-Aviv University
编辑信件的主要联系方式.
Email: bialy@post.tau.ac.il
以色列, Tel Aviv
A. Mironov
Sobolev Institute of Mathematics
Email: bialy@post.tau.ac.il
俄罗斯联邦, pr. Akademika Koptyuga 4, Novosibirsk, 630090
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