Singularities of integrable Liouville systems, reduction of integrals to lower degree and topological billiards: Recent results
In the paper we present the new results in the theory of integrable Hamiltonian systems with two degrees of freedom and topological billiards. The results are obtained by the authors, their students, and participants of scientific seminars of the Department of Differential Geometry and Applications,...
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Serbian Society of Mechanics & Mathematical Institute of the Serbian Academy of Sciences and Arts, Belgrade
2019-01-01
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| Series: | Theoretical and Applied Mechanics |
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| Online Access: | http://www.doiserbia.nb.rs/img/doi/1450-5584/2019/1450-55841900001F.pdf |
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doaj-c3307c3cf1b64ace88dd73dfead9fbc82020-11-25T01:07:41ZengSerbian Society of Mechanics & Mathematical Institute of the Serbian Academy of Sciences and Arts, BelgradeTheoretical and Applied Mechanics1450-55842406-09252019-01-01461476310.2298/TAM181215001F1450-55841900001FSingularities of integrable Liouville systems, reduction of integrals to lower degree and topological billiards: Recent resultsFomenko A.T.0Vedyushkina V.V.1Moscow State University, Moscow, Russia FederationMoscow State University, Moscow, Russia FederationIn the paper we present the new results in the theory of integrable Hamiltonian systems with two degrees of freedom and topological billiards. The results are obtained by the authors, their students, and participants of scientific seminars of the Department of Differential Geometry and Applications, Faculty of Mathematics and Mechanics at Lomonosov Moscow State University.http://www.doiserbia.nb.rs/img/doi/1450-5584/2019/1450-55841900001F.pdfintegrable systemstopological billiardsLiouville equivalenceMinkowski spacegeodesic flowsFomenko-Zieschang invariants |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Fomenko A.T. Vedyushkina V.V. |
| spellingShingle |
Fomenko A.T. Vedyushkina V.V. Singularities of integrable Liouville systems, reduction of integrals to lower degree and topological billiards: Recent results Theoretical and Applied Mechanics integrable systems topological billiards Liouville equivalence Minkowski space geodesic flows Fomenko-Zieschang invariants |
| author_facet |
Fomenko A.T. Vedyushkina V.V. |
| author_sort |
Fomenko A.T. |
| title |
Singularities of integrable Liouville systems, reduction of integrals to lower degree and topological billiards: Recent results |
| title_short |
Singularities of integrable Liouville systems, reduction of integrals to lower degree and topological billiards: Recent results |
| title_full |
Singularities of integrable Liouville systems, reduction of integrals to lower degree and topological billiards: Recent results |
| title_fullStr |
Singularities of integrable Liouville systems, reduction of integrals to lower degree and topological billiards: Recent results |
| title_full_unstemmed |
Singularities of integrable Liouville systems, reduction of integrals to lower degree and topological billiards: Recent results |
| title_sort |
singularities of integrable liouville systems, reduction of integrals to lower degree and topological billiards: recent results |
| publisher |
Serbian Society of Mechanics & Mathematical Institute of the Serbian Academy of Sciences and Arts, Belgrade |
| series |
Theoretical and Applied Mechanics |
| issn |
1450-5584 2406-0925 |
| publishDate |
2019-01-01 |
| description |
In the paper we present the new results in the theory of integrable Hamiltonian systems with two degrees of freedom and topological billiards. The results are obtained by the authors, their students, and participants of scientific seminars of the Department of Differential Geometry and Applications, Faculty of Mathematics and Mechanics at Lomonosov Moscow State University. |
| topic |
integrable systems topological billiards Liouville equivalence Minkowski space geodesic flows Fomenko-Zieschang invariants |
| url |
http://www.doiserbia.nb.rs/img/doi/1450-5584/2019/1450-55841900001F.pdf |
| work_keys_str_mv |
AT fomenkoat singularitiesofintegrableliouvillesystemsreductionofintegralstolowerdegreeandtopologicalbilliardsrecentresults AT vedyushkinavv singularitiesofintegrableliouvillesystemsreductionofintegralstolowerdegreeandtopologicalbilliardsrecentresults |
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