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Superintegrable Hamiltonian systems with noncompact invariant submanifolds. Kepler systemстатья
- Автор: Sardanashvily G.
- Журнал: ArXiv e-prints
- Номер: 0911.0992
- Год издания: 2009
- Аннотация: The Mishchenko-Fomenko theorem on superintegrable Hamiltonian systems is generalized to superintegrable Hamiltonian systems with noncompact invariant submanifolds. It is formulated in the case of globally superintegrable Hamiltonian systems which admit global generalized action-angle coordinates. The well known Kepler system falls into two different globally superintegrable systems with compact and noncompact invariant submanifolds.
- Добавил в систему: Сарданашвили Геннадий Александрович