Modeling the Degenerate Singularities of Integrable Billiard Systems by Billiard Books
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Published:2023-10
Issue:5
Volume:78
Page:207-215
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ISSN:0027-1322
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Container-title:Moscow University Mathematics Bulletin
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language:en
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Short-container-title:Moscow Univ. Math. Bull.
Subject
General Mathematics
Reference23 articles.
1. V. V. Vedyushkina, A. T. Fomenko, and I. S. Kharcheva, ‘‘Modeling nondegenerate bifurcations of closures of solutions for integrable systems with two degrees of freedom by integrable topological billiards,’’ Dokl. Math. 97, 174–176 (2018). https://doi.org/10.1134/s1064562418020230
2. V. V. Vedyushkina and I. S. Kharcheva, ‘‘Billiard books model all three-dimensional bifurcations of integrable Hamiltonian systems,’’ Sb. Math. 209, 1690–1727 (2018). https://doi.org/10.1070/SM9039
3. A. T. Fomenko and V. V. Vedyushkina, ‘‘Billiards and integrability in geometry and physics. New scope and new potential,’’ Moscow Univ. Math. Bull. 74, 98–107 (2019). https://doi.org/10.3103/S0027132219030021
4. A. T. Fomenko, ‘‘Morse theory of integrable Hamiltonian systems,’’ Sov. Math., Dokl. 33, 502–506 (1986).
5. A. T. Fomenko, ‘‘The topology of surfaces of constant energy in integrable Hamiltonian systems, and obstructions to integrability,’’ Math. USSR Izv. 29, 629–658 (1986). https://doi.org/10.1070/IM1987v029n03ABEH000986