Pustovoitov, S. E. Classification of singularities of the Liouville foliation of an integrable elliptical Billiard with a potential of fourth degree. (English) Zbl 07788022 Russ. J. Math. Phys. 30, No. 4, 643-673 (2023). MSC: 37J39 37J35 37C83 PDFBibTeX XMLCite \textit{S. E. Pustovoitov}, Russ. J. Math. Phys. 30, No. 4, 643--673 (2023; Zbl 07788022) Full Text: DOI
Trifonova, Viktoriya One more proof of Vassiliev’s conjecture. (English) Zbl 1512.05113 J. Knot Theory Ramifications 32, No. 4, Article ID 2350025, 13 p. (2023). MSC: 05C10 57K10 57M15 PDFBibTeX XMLCite \textit{V. Trifonova}, J. Knot Theory Ramifications 32, No. 4, Article ID 2350025, 13 p. (2023; Zbl 1512.05113) Full Text: DOI
Vedyushkina, V. V.; Skvortsov, A. I. Topology of integrable billiard in an ellipse in the Minkowski plane with the Hooke potential. (English. Russian original) Zbl 1504.37075 Mosc. Univ. Math. Bull. 77, No. 1, 7-19 (2022); translation from Vestn. Mosk. Univ., Ser. I 77, No. 1, 8-18 (2022). MSC: 37J39 37J35 37C83 PDFBibTeX XMLCite \textit{V. V. Vedyushkina} and \textit{A. I. Skvortsov}, Mosc. Univ. Math. Bull. 77, No. 1, 7--19 (2022; Zbl 1504.37075); translation from Vestn. Mosk. Univ., Ser. I 77, No. 1, 8--18 (2022) Full Text: DOI
Belozerov, Gleb V. Topological classification of billiards bounded by confocal quadrics in three-dimensional Euclidean space. (English. Russian original) Zbl 1497.37064 Sb. Math. 213, No. 2, 129-160 (2022); translation from Mat. Sb. 213, No. 2, 3-36 (2022). MSC: 37J35 37J39 37C15 37C83 PDFBibTeX XMLCite \textit{G. V. Belozerov}, Sb. Math. 213, No. 2, 129--160 (2022; Zbl 1497.37064); translation from Mat. Sb. 213, No. 2, 3--36 (2022) Full Text: DOI
Pustovoitov, Sergey E. Topological analysis of a billiard bounded by confocal quadrics in a potential field. (English. Russian original) Zbl 1468.37028 Sb. Math. 212, No. 2, 211-233 (2021); translation from Mat. Sb. 212, No. 2, 81-105 (2021). MSC: 37C83 37J35 37J39 PDFBibTeX XMLCite \textit{S. E. Pustovoitov}, Sb. Math. 212, No. 2, 211--233 (2021; Zbl 1468.37028); translation from Mat. Sb. 212, No. 2, 81--105 (2021) Full Text: DOI
Trifonova, V. A. Criteria for the height of an atom. (English. Russian original) Zbl 1468.37021 Mosc. Univ. Math. Bull. 75, No. 3, 102-116 (2020); translation from Vestn. Mosk. Univ., Ser. I 75, No. 3, 12-24 (2020). MSC: 37C15 37C20 37J39 PDFBibTeX XMLCite \textit{V. A. Trifonova}, Mosc. Univ. Math. Bull. 75, No. 3, 102--116 (2020; Zbl 1468.37021); translation from Vestn. Mosk. Univ., Ser. I 75, No. 3, 12--24 (2020) Full Text: DOI
Karginova, Ekaterina E. Billiards bounded by arcs of confocal quadrics on the Minkowski plane. (English. Russian original) Zbl 1443.37042 Sb. Math. 211, No. 1, 1-28 (2020); translation from Mat. Sb. 211, No. 1, 3-31 (2020). MSC: 37J35 37J39 37C83 PDFBibTeX XMLCite \textit{E. E. Karginova}, Sb. Math. 211, No. 1, 1--28 (2020; Zbl 1443.37042); translation from Mat. Sb. 211, No. 1, 3--31 (2020) Full Text: DOI
Fomenko, A. T.; Vedyushkina, V. V. Singularities of integrable Liouville systems, reduction of integrals to lower degree and topological billiards: recent results. (English) Zbl 1474.37058 Theor. Appl. Mech. (Belgrade) 46, No. 1, 47-63 (2019). MSC: 37J06 37J35 37J39 PDFBibTeX XMLCite \textit{A. T. Fomenko} and \textit{V. V. Vedyushkina}, Theor. Appl. Mech. (Belgrade) 46, No. 1, 47--63 (2019; Zbl 1474.37058) Full Text: DOI
Kharlamov, M. P.; Ryabov, P. E. Topological atlas of the Kovalevskaya top in a double field. (English. Russian original) Zbl 1384.37072 J. Math. Sci., New York 223, No. 6, 775-809 (2017); translation from Fundam. Prikl. Mat. 20, No. 2, 185-230 (2015). MSC: 37J35 70E40 37J05 70H06 PDFBibTeX XMLCite \textit{M. P. Kharlamov} and \textit{P. E. Ryabov}, J. Math. Sci., New York 223, No. 6, 775--809 (2017; Zbl 1384.37072); translation from Fundam. Prikl. Mat. 20, No. 2, 185--230 (2015) Full Text: DOI arXiv
Timonina, D. S. Topological classification of integrable geodesic flows in a potential field on the torus of revolution. (English) Zbl 1383.37046 Lobachevskii J. Math. 38, No. 6, 1108-1120 (2017). MSC: 37J35 37J05 37J20 70H06 PDFBibTeX XMLCite \textit{D. S. Timonina}, Lobachevskii J. Math. 38, No. 6, 1108--1120 (2017; Zbl 1383.37046) Full Text: DOI
Fomenko, A. T.; Kantonistova, E. O. Topological classification of geodesic flows on revolution 2-surfaces with potential. (English) Zbl 1335.53109 Sadovnichiy, Viktor A. (ed.) et al., Continuous and distributed systems II. Theory and applications. Cham: Springer (ISBN 978-3-319-19074-7/hbk; 978-3-319-19075-4/ebook). Studies in Systems, Decision and Control 30, 11-27 (2015). MSC: 53D25 37J05 37D40 PDFBibTeX XMLCite \textit{A. T. Fomenko} and \textit{E. O. Kantonistova}, Stud. Syst. Decis. Control 30, 11--27 (2015; Zbl 1335.53109) Full Text: DOI
Ryabov, P. E. Phase topology of one irreducible integrable problem in the dynamics of a rigid body. (English. Russian original) Zbl 1286.70023 Theor. Math. Phys. 176, No. 2, 1000-1015 (2013); translation from Teor. Mat. Fiz. 176, No. 2, 205-221 (2013). MSC: 70H06 70E99 PDFBibTeX XMLCite \textit{P. E. Ryabov}, Theor. Math. Phys. 176, No. 2, 1000--1015 (2013; Zbl 1286.70023); translation from Teor. Mat. Fiz. 176, No. 2, 205--221 (2013) Full Text: DOI
Novikov, D. V. The topology of isoenergy surfaces for the Sokolov integrable case on the Lie algebra \(\mathrm{so}(3, 1)\). (English. Russian original) Zbl 1304.37038 Mosc. Univ. Math. Bull. 66, No. 4, 181-184 (2011); translation from Vest. Mosk. Univ. Mat. Mekh. 66, No. 4, 62-64 (2011). MSC: 37J35 PDFBibTeX XMLCite \textit{D. V. Novikov}, Mosc. Univ. Math. Bull. 66, No. 4, 181--184 (2011; Zbl 1304.37038); translation from Vest. Mosk. Univ. Mat. Mekh. 66, No. 4, 62--64 (2011) Full Text: DOI