Geodesic
Degenerately integrable systems
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 23, Tome 433 (2015), pp. 224-245

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This is a short survey of degenerate integrability is Hamiltonian mechanics. The first section contains a short description of degenerately integrable systems. It is followed by a number of examples which include spin Calogero model, Casimir models, integrable models on symplectic leaves of Poisson Lie groups and some others. Bibliography: 27 titles. 
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     author = {N. Reshetikhin},
     title = {Degenerately integrable systems},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_2015_433_a11/}
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N. Reshetikhin. Degenerately integrable systems. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 23, Tome 433 (2015), pp. 224-245. http://geodesic.mathdoc.fr/item/ZNSL_2015_433_a11/