Geodesic
On the generalized Chaplygin system
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 21, Tome 374 (2010), pp. 250-267 Cet article a éte moissonné depuis la source Math-Net.Ru

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We discuss two polynomial bi-Hamiltonian structures for the generalized integrable Chaplygin system on the sphere $\mathcal S^2$ with an additional integral of fourth order in momenta. An explicit procedure to find the variables of separation, the separation relations and the transformation of the corresponding algebraic curves of genus two is considered in detail. Bibl. – 21 titles. 
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_2010_374_a12/}
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A. V. Tsiganov. On the generalized Chaplygin system. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 21, Tome 374 (2010), pp. 250-267. http://geodesic.mathdoc.fr/item/ZNSL_2010_374_a12/

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