On the Method of Introduction of Local Variables in a Neighborhood of Periodic Solution of a Hamiltonian System with Two Degrees of Freedom

Author:

Bardin Boris S.

Publisher

Pleiades Publishing Ltd

Subject

Mechanical Engineering,Applied Mathematics,Mathematical Physics,Modeling and Simulation,Statistical and Nonlinear Physics,Mathematics (miscellaneous)

Reference23 articles.

1. Poincaré, H., Les méthodes nouvelles de la mécanique céleste: T. 2. Méthodes de Newcomb, Glyden, Lindstedt et Bohlin, Paris: Gauthier-Villars, 1892.

2. Amer. Math. Soc. Colloq. Publ.;G. D. Birkhoff,1966

3. Markeev, A. P., Stability of Plane Oscillations and Rotations of a Satellite in a Circular Orbit, Cosmic Research, 1975, vol. 13, no. 3, pp. 285–298; see also: Kosmicheskie Issledovaniya, 1975, vol. 13, no. 3, pp. 322-336.

4. Markeev, A. P. and Bardin, B. S., On the Stability of Planar Oscillations and Rotations of a Satellite in a Circular Orbit, Celest. Mech. Dynam. Astronom., 2003, vol. 85, no. 1, pp. 51–66.

5. Markeyev, A. P., The Stability of the Plane Motions of a Rigid Body in the Kovalevskaya Case, J. Appl. Math. Mech., 2001, vol. 65, no. 1, pp. 47–54; see also: Prikl. Mat. Mekh., 2001, vol. 65, no. 1, pp. 51-58.

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