Geodesic
Symmetries and Integrability
Publications de l'Institut Mathématique, _N_S_84 (2008) no. 98, p. 1

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This is a survey on finite-dimensional integrable dynamical systems related to Hamiltonian $G$-actions. Within a framework of noncommutative integrability we study integrability of $G$-invariant systems, collective motions and reduced integrability. We also consider reductions of the Hamiltonian flows restricted to their invariant submanifolds generalizing classical Hess--Appel'rot case of a heavy rigid body motion.
DOI : 10.2298/PIM0898001J
Classification : 70H06 37J35 53D25 
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Božidar Jovanović. Symmetries and Integrability. Publications de l'Institut Mathématique, _N_S_84 (2008) no. 98, p. 1 . doi: 10.2298/PIM0898001J

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