Topological Types of Isoenergy Surfaces in the System of the Chaplygin Ball with a Rotor-Reference-Cited by-同舟云学术

Topological Types of Isoenergy Surfaces in the System of the Chaplygin Ball with a Rotor

Published:2020-05 Issue:3 Volume:75 Page:134-138
ISSN:0027-1322
Container-title:Moscow University Mathematics Bulletin
language:en
Short-container-title:Moscow Univ. Math. Bull.

Author:

Zhila A. I.

Publisher

Allerton Press

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.3103/S0027132220030080.pdf

Reference13 articles.

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2. A. T. Fomenko and H. Zieschang, ‘‘On the topology of the three-dimensional manifolds arising in Hamiltonian mechanics,’’ Sov. Math., Dokl. 35, 529–534 (1987).

3. S. V. Matveev and A. T. Fomenko, ‘‘Constant energy surfaces of Hamiltonian systems, enumeration of three-dimensional manifolds in increasing order of complexity, and computation of volumes of closed hyperbolic manifolds,’’ Russ. Math. Surv. 43, 3–24 (1988). doi https://doi.org/10.1070/RM1988v043n01ABEH001554

4. A. T. Fomenko and Kh. Tsishang, ‘‘On typical topological properties of integrable Hamiltonian systems,’’ Math. USSR Izv. 32, 385–412 (1989). doi https://doi.org/10.1070/IM1989v032n02ABEH000772

5. A. T. Fomenko and S. S. Nikolaenko, ‘‘The Chaplygin case in dynamics of a rigid body in fluid is orbitally equivalent to the Euler case in rigid body dynamics and to the Jacobi problem about geodesics on the ellipsoid,’’ J. Geom. Phys. 87, 115–133 (2015). doi 1https://doi.org/10.1016/j.geomphys.2014.09.007

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