Enviar artigo por via de e-mail On fourth-degree polynomial integrals of the Birkhoff billiard
- Autores: Bialy M.1, Mironov A.E.2
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Afiliações:
- Tel-Aviv University
- Sobolev Institute of Mathematics
- Edição: Volume 295, Nº 1 (2016)
- Páginas: 27-32
- Seção: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/174120
- DOI: https://doi.org/10.1134/S0081543816080022
- ID: 174120
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Resumo
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.
Sobre autores
M. Bialy
Tel-Aviv University
Autor responsável pela correspondência
Email: bialy@post.tau.ac.il
Israel, Tel Aviv
A. Mironov
Sobolev Institute of Mathematics
Email: bialy@post.tau.ac.il
Rússia, pr. Akademika Koptyuga 4, Novosibirsk, 630090
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