Kibkalo, V. A.; Fomenko, A. T.; Kharcheva, I. S. Realizing integrable Hamiltonian systems by means of billiard books. (English. Russian original) Zbl 1498.37093 Trans. Mosc. Math. Soc. 2021, 37-64 (2021); translation from Tr. Mosk. Mat. O.-va 82, No. 1, 45-78 (2021). MSC: 37J35 37J39 37C83 PDFBibTeX XMLCite \textit{V. A. Kibkalo} et al., Trans. Mosc. Math. Soc. 2021, 37--64 (2021; Zbl 1498.37093); translation from Tr. Mosk. Mat. O.-va 82, No. 1, 45--78 (2021) Full Text: DOI
Vedyushkina, V. V.; Kharcheva, I. S. Billiard books realize all bases of Liouville foliations of integrable Hamiltonian systems. (English. Russian original) Zbl 1485.37056 Sb. Math. 212, No. 8, 1122-1179 (2021); translation from Mat. Sb. 212, No. 8, 89-150 (2021). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J39 37C83 37J35 37G10 37J20 PDFBibTeX XMLCite \textit{V. V. Vedyushkina} and \textit{I. S. Kharcheva}, Sb. Math. 212, No. 8, 1122--1179 (2021; Zbl 1485.37056); translation from Mat. Sb. 212, No. 8, 89--150 (2021) Full Text: DOI
Kharcheva, I. S. Isoenergetic manifolds of integrable billiard books. (English. Russian original) Zbl 1473.37070 Mosc. Univ. Math. Bull. 75, No. 4, 149-160 (2020); translation from Vestn. Mosk. Univ., Ser. I 75, No. 4, 12-22 (2020). MSC: 37J35 37J39 37C83 PDFBibTeX XMLCite \textit{I. S. Kharcheva}, Mosc. Univ. Math. Bull. 75, No. 4, 149--160 (2020; Zbl 1473.37070); translation from Vestn. Mosk. Univ., Ser. I 75, No. 4, 12--22 (2020) Full Text: DOI
Vedyushkina, Viktoriya V.; Kharcheva, Irina S. Billiard books model all three-dimensional bifurcations of integrable Hamiltonian systems. (English. Russian original) Zbl 1408.37098 Sb. Math. 209, No. 12, 1690-1727 (2018); translation from Mat. Sb. 209, No. 12, 17-56 (2018). MSC: 37J35 37G10 37J20 70E40 37J05 PDFBibTeX XMLCite \textit{V. V. Vedyushkina} and \textit{I. S. Kharcheva}, Sb. Math. 209, No. 12, 1690--1727 (2018; Zbl 1408.37098); translation from Mat. Sb. 209, No. 12, 17--56 (2018) Full Text: DOI
Vedyushkina, V. V.; Fomenko, A. T.; Kharcheva, Irina S. Modeling nondegenerate bifurcations of closures of solutions for integrable systems with two degrees of freedom by integrable topological billiards. (English. Russian original) Zbl 1394.37088 Dokl. Math. 97, No. 2, 174-176 (2018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 479, No. 6, 607-610 (2018). MSC: 37J20 37J05 37J35 PDFBibTeX XMLCite \textit{V. V. Vedyushkina} et al., Dokl. Math. 97, No. 2, 174--176 (2018; Zbl 1394.37088); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 479, No. 6, 607--610 (2018) Full Text: DOI