SYSTEMS OF HESS-APPEL'ROT TYPE AND ZHUKOVSKII PROPERTY

@article{Dragovic2009SYSTEMSOH,
  title={SYSTEMS OF HESS-APPEL'ROT TYPE AND ZHUKOVSKII PROPERTY},
  author={V. Dragovic and B. Gaji{\'c} and B. Jovanovic},
  journal={International Journal of Geometric Methods in Modern Physics},
  year={2009},
  volume={06},
  pages={1253-1304}
}
We start with a review of a class of systems with invariant relations, so called systems of Hess–Appel'rot type that generalizes the classical Hess–Appel'rot rigid body case. The systems of Hess–Appel'rot type have remarkable property: there exists a pair of compatible Poisson structures, such that a system is certain Hamiltonian perturbation of an integrable bi-Hamiltonian system. The invariant relations are Casimir functions of the second structure. The systems of Hess–Appel'rot type carry an… Expand
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