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The behaviour of cyclic variables in integrable systems. (English. Russian original) Zbl 1282.37031
J. Appl. Math. Mech. 77, No. 2, 128-136 (2013); translation from Prikl. Mat. Mekh. 77, No. 2, 179-190 (2013).
Summary: A general theorem on the behaviour of the angular variables of integrable dynamical systems as functions of time is established. Problems on the motion of the nodal line of a Kovalevskaya top and of a three- dimensional rigid body in a fluid are considered in integrable cases as examples. This range of topics is discussed for systems of a more general form obtained from completely integrable systems after changing the time.

37J35 Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests
37N10 Dynamical systems in fluid mechanics, oceanography and meteorology
Full Text: DOI
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