The Geodesic Flow on a Two-Dimensional Ellipsoid in the Field of an Elastic Force. Topological Classification of Solutions

Author:

Kobtsev I. F.

Publisher

Allerton Press

Subject

General Mathematics

Reference10 articles.

1. C. G. J. Jacobi, Vorlesungen über Dynamik (G. Reimer, Berlin, 1884; Glav. red. obshch. tekh. liter., Moscow, Leningrad, 1936).

2. V. V. Kozlov, “Some Integrable Generalizations of the Jacobi Problem on Geodesies on an Ellipsoid,” Prikl. Matem. Mekhan. 59 (1), 3 (1995) [J. Appl. Math. Mech. 59 (1), 1 (1995)].

3. A. V. Bolsinov and A. T. Fomenko, Integrable Hamiltonian Systems. Geometry, Topology, Classification (Izd. Dom Undmurtsk. Univer., Izhevsk, 1999; Chapman and Hall/CRC Press, Boca Raton, 2004).

4. A. T. Fomenko, “Morse Theory of Integrable Hamiltonian Systems,” Doklady Akad. Nauk SSSR 287 (5), 1071 (1986) [Soviet Math. Doklady 33 (2), 502 (1986)].

5. A. T. Fomenko, “The Topology of Surfaces of Constant Energy in Integrable Hamiltonian Systems and Obstructions to Integrability,” Izvestiya Akad. Nauk SSSR, Ser. Matem. 50 (6), 1276 (1986) [Math. USSR Izvestiya 29 (3), 629 (1987)].

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