Realization of focal singularities of integrable systems using billiard books with a Hooke potential field
| Autor: | Veduyshkina, Victoria, Kibkalo, Vladislav, Pustovoitov, Sergey |
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| Jazyk: | ruština |
| Rok vydání: | 2021 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | Systems of particle motion in the Hooke central potential field on a billiard book glued from flat circular billiard domains are considered. An important class of nondegenerate focal singularities of the rank 0 of integrable systems with 2 degrees of freedom is completely realized by this class of billiards. Namely, for each semi-local focal singularity the constructed billiard system has a singularity fiberwise homeomorphic to the given one. Comment: in Russian, 4 figures |
| Databáze: | arXiv |
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