Classical perturbation theory and resonances in some rigid body systems

Author:

Polekhin Ivan Yu.

Publisher

Pleiades Publishing Ltd

Subject

Mathematics (miscellaneous)

Reference10 articles.

1. Kozlov, V.V., Symmetries, Topology and Resonances in Hamiltonian Mechanics, Ergeb. Math. Grenzgeb. (3), vol. 31, Berlin: Springer, 1996.

2. Poincaré, H., Les méthodes nouvelles de la mécanique céleste: Vol. 1. Solutions périodiques. Non-existence des intégrales uniformes. Solutions asymptotique, Paris: Gauthier-Villars, 1892.

3. Born, M., The Mechanics of the Atom, New York: Ungar, 1967.

4. Kozlov, V.V. and Treshchev, D. V., On the Integrability of Hamiltonian Systems with Toral Position Space, Math. USSR-Sb., 1989, vol. 63, no. 1, pp. 121–139; see also: Mat. Sb. (N. S.), 1988, vol. 135(177), no. 1, pp. 119–138, 144.

5. Golubev, V. V., Lectures on Integration of the Equations of Motion of a Rigid Body about a Fixed Point, Jerusalem: Israel Program for Scientific Translations, 1960.

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