Geodesic
On isomorphism of integrable cases of the Euler equations on the bi-hamiltonian manifolds $e(3)$ and $so(4)$
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 18, Tome 317 (2004), pp. 200-212 
A. V. Tsiganov. On isomorphism of integrable cases of the Euler equations on the bi-hamiltonian manifolds $e(3)$ and $so(4)$. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 18, Tome 317 (2004), pp. 200-212. http://geodesic.mathdoc.fr/item/ZNSL_2004_317_a10/
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     title = {On isomorphism of integrable cases of the {Euler} equations on the bi-hamiltonian manifolds $e(3)$ and $so(4)$},
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

The Poisson maps between the Clebsch model and the Schottky system, two Steklov systems, the Kowalevski top and the Neumann system are considered. We prove that these non-canonical transformations of variables are the twisted Poisson maps, which completely define the corresponding pairs of integrable systems.

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