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Russian Academy of Sciences
in January 1936
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IssuesArchive of Issues2013-2pp.128-136

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V.V. Kozlov, "The behaviour of cyclic variables in integrable systems," J. Appl. Math. Mech. 77 (2), 128-136 (2013)
Year 2013 Volume 77 Issue 2 Pages 128-136
Title The behaviour of cyclic variables in integrable systems
Author(s) V.V. Kozlov (Moscow, Russia,
Abstract 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.
Received 30 September 2012
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