Integrable Systems with Dissipation and Two and Three Degrees of Freedom


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Abstract

We establish the integrability for some classes of dynamic systems on the tangent bundles of two– and three-dimensional manifolds (systems with two and three degrees of freedom). The force fields possess the so-called variable dissipation and generalize those considered in the previous publications of the author.

About the authors

M. V. Shamolin

Lomonosov Moscow State University, Institute of Mechanics

Author for correspondence.
Email: shamolin@rambler.ru
Russian Federation, 1, Michurinskii pr., Moscow, 119192


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