The Liouville Foliation of the Billiard Book Modelling the Goryachev-Chaplygin Case

Author:

Vedyushkina V. V.

Publisher

Allerton Press

Subject

General Mathematics

Reference8 articles.

1. G. D. Birkhoff, Dynamical Systems (AMS, Providence, 1927; Izd. Dom “Udmurtskii Universitet,” Izhevsk, 1999).

2. V. V. Kozlov and D. V. Treshchev, Billiards: A Genetic Introduction to the Dynamics of Systems with Impacts (Moscow State Univ., Moscow, 1991; AMS, Providence, RI, 1991).

3. A. V. Bolsinov and A. T. Fomenko, Integrable Hamiltonian Systems. Geometry, Topology and Classification (Izd. Dom “Udmurtskii Universitet,” Izhevsk, 1999; CRC Press, 2004).

4. A. T. Fomenko and H. Zieschang, “A Topological Invariant and a Criterion for the Equivalence of Integrable Hamiltonian Systems with Two Degrees of Freedom,” Izvestiya Akad. Nauk SSSR, Ser. Matem., 54(3), 546 (1990) [Math, of the USSR-Izvestiya 36 (3), 567 (1991)].

5. V. V. Fokicheva, “A Topological Classification of Billiards in Locally Planar Domains Bounded by Arcs of Confocal Quadrics,” Matem. Sbornik 206(10), 127 (2015) [Sbornik: Math. 206 (10), 1463 (2015)].

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