Prikl. Mat. Mekh., 2013, Volume 77, Issue 2, Pages 179–190
The behaviour of cyclic variables in integrable systems
V. V. Kozlov
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.
Journal of Applied Mathematics and Mechanics, 2013, 77:2, 128–136
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