Abstract:
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.
This work was supported by the program “Leading Scientific Schools” (grant no. NSh-6399.2018.1, Agreement No. 075-02-2018-867) and the Russian Foundation for Basic Research (grant No. 19-01-00775-a).
Citation:
A. T. Fomenko, V. V. Vedyushkina, “Singularities of integrable Liouville systems, reduction of integrals to lower degree and topological billiards: recent results”, Theor. Appl. Mech., 46:1 (2019), 47–63
\Bibitem{FomVed19}
\by A.~T.~Fomenko, V.~V.~Vedyushkina
\paper Singularities of integrable Liouville systems, reduction of integrals to lower degree and topological billiards: recent results
\jour Theor. Appl. Mech.
\yr 2019
\vol 46
\issue 1
\pages 47--63
\mathnet{http://mi.mathnet.ru/tam54}
\crossref{https://doi.org/10.2298/TAM181215001F}
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This publication is cited in the following 4 articles:
Vladimir Dragović, Sean Gasiorek, Milena Radnović, “Billiard Ordered Games and Books”, Regul. Chaotic Dyn., 27:2 (2022), 132–150
M Pnueli, V Rom-Kedar, “On the structure of Hamiltonian impact systems”, Nonlinearity, 34:4 (2021), 2611
T. K. Yuldashev, S. K. Zarifzoda, “New Type Super Singular Integro-Differential Equation and Its Conjugate Equation”, Lobachevskii J Math, 41:6 (2020), 1123
T. K. Yuldashev, S. K. Zarifzoda, “Mellin Transform and Integro-Differential Equations with Logarithmic Singularity in the Kernel”, Lobachevskii J Math, 41:9 (2020), 1910
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