Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2021, Number 2, Pages 28–32 (Mi vmumm4388)  

Short notes

Local simulation of Liouville foliations by billiards: realization of edge invariants

V. V. Vedyushkina

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: The local case of A. Fomenko conjecture on the possibility of modeling Liouville foliations by integrable billiards is discussed. An extended version of its statements on numerical invariants on the edge of the Fomenko–Zieschang invariant of the Liouville foliation is proved. We show the realization of the Liouville foliation with some combinations of numerical marks values on a fixed edge by an appropriate class of integrable billiards.

Key words: integrable Hamiltonian systems, billiard, Liouville foliation, bifurcation diagram, Fomenko–Zieschang invariant, topological invariants.

Funding Agency Grant Number
Russian Science Foundation 20-71-00155


Full text: PDF file (371 kB)
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UDC: 517.938.5
Received: 26.09.2019

Citation: V. V. Vedyushkina, “Local simulation of Liouville foliations by billiards: realization of edge invariants”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2021, no. 2, 28–32

Citation in format AMSBIB
\Bibitem{Ved21}
\by V.~V.~Vedyushkina
\paper Local simulation of Liouville foliations by billiards: realization of edge invariants
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2021
\issue 2
\pages 28--32
\mathnet{http://mi.mathnet.ru/vmumm4388}


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