Euler equations on finite dimensional Lie algebras arising in physical problems

Author:

Bogoyavlensky O. I.

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference12 articles.

1. Euler, L.: Decouverte d'une nouveau principe de mechanique. Mem. Acad. Sci. Berlin14, 154?193 (1758)

2. Kowalewski, S.V.: Sur la probleme de la rotation d'un corps solide autour d'un point fixe. Acta Math.12, 177?232 (1889)

3. Arnold, V.I.: Mathematical methods of classical mechanics (in Russian). Moscow: Nauka 1974 [English transl. Berlin, Heidelberg, New York: pringer 1979]

4. Novikov, S.P., Shmeltser, I.: Periodical solutions of the Kirchhoff equations for free motion of a rigid body in fluids and an extended Lyusternik-Shnirelman-Morse theory. I (in Russian). Funkcional. Anal. i Prilozen.15, 54?66 (1981)

5. Bogoyavlensky, O.I.: New integrable problem of classical mechanics. Commun. Math. Phys.94, 255?269 (1984)

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