A New Case of an Integrable System with Dissipation on the Tangent Bundle of a Multidimensional Sphere


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Abstract

The equations of motion for a dynamically symmetric n-dimensional fixed rigid body-pendulum situated in a rioricoriservative force field are studied. The form of these equations is taken from the dynamics of real fixed rigid bodies placed in a homogeneous flow of an incident medium. The complete list of transcendental first integrals expressed in terms of finite combinations of elementary functions is found.

About the authors

M. V. Shamolin

Moscow State University, Moscow University Institute of Mechanics

Author for correspondence.
Email: shamolin@imec.msu.ru
Russian Federation, Leninskie Gory, Moscow, 119991

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