Title | Remark on the non-integrability of the perturbed motion of the particle in a central field in constant curvature spaces |
Publication Type | Journal Article |
Year of Publication | 2001 |
Authors | Christov O |
Journal | Annuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique |
Volume | 93 |
Pagination | 25-30 |
ISSN | 0205-0808 |
Keywords | central field motion, constant curvature spaces, Melnikov integrals, non-integrability |
Abstract | In the recent article [1] Kozlov and Harin generalize the motion of a particle in a central field to the case of constant curvature spaces. In this remark we show that the problem of the non-integrability of the perturbed motion in a central field on the sphere and on the Lobachevski's space is reduced to the flat case considered by Holmes and Marsden using Melnikov integrals. |
2000 MSC | 37J30, 70F05, 70H07 |
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93-025-030.pdf | 408.17 KB |