The behaviour of cyclic variables in integrable systems

详细信息    查看全文

• 作者：V.V. Kozlov
• 刊名：Journal of Applied Mathematics and Mechanics
• 出版年：2013
• 出版时间：2013
• 年：2013
• 卷：77
• 期：2
• 页码：128-136
• 全文大小：444 K

文摘

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.