Persistence of relative periodic orbits in symmetric Hamiltonian systems;Persistance d'orbites périodiques relatives dans les systèmes hamiltoniens symétriques

Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

Volumn 324, Issue 5, 1997, Pages 553-558

  Montaldi, James ^a  

^a INSTITUT NON LINÉAIRE DE NICE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031097269     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0764-4442(99)80389-9     Document Type: Article

References (11)

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3. 2 and periodic points of annulus homeomorphisms, Invent. Math., 108, pp. 403-418.
4. [4] Gambaudo J.-M., et Le Calvez P., 1991. Infinité d'orbites périodiques pour les difféomorphismes de l'anneau. Preprint.
5. [5] Krupa M., 1990. Bifurcations of relative equilibria, SIAM J. Math. Anal., 21, pp. 1453-1486.
6. [6] Montaldi J., 1997. Persistence and stability of relative equilibria, Nonlinearity, 10, pp. 449-466.
7. [7] Montaldi J., et Roberts R.M., 1997. Relative equilibria of molecules, Preprint.
8. [8] Montaldi J., Roberts R.M., et Stewart I., 1987. Nonlinear normal modes of symmetric Hamiltonian systems, In Pattern Formation in Physics (Güttinger W., Dangelmayr G., Ed). Springer-Verlag.
9. [9] Montaldi J., Roberts R.M., et Stewart I., 1988. Periodic solutions near equilibria of symmetric Hamiltonian systems. Phil. Trans. Roy. Soc. London, 325, pp. 237-293.
10. [10] Sjamaar R. et Lerman E., 1991. Stratified symplectic spaces and reduction, Annals of Math., 134, pp. 375-422.
11. [11] Stewart I., 1996. Symmetry methods in collisionless many-body problems, Journal of Nonlinear Science, 6, pp. 543-563.