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arXiv · 0812.4398

Symmetries and Integrability

Bozidar Jovanovic
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Abstract

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.

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Bozidar Jovanovic. 2008-12-23. Symmetries and Integrability. https://doi.org/10.2298/pim0898001j

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