Integrable Dynamic Systems with Dissipation and Finitely Many Degrees of Freedom


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Abstract

We establish the integrability for some classes of dynamic systems on the tangent bundles of multidimensional manifolds. We consider the case where the force fields possess variable dissipation. An example of a four-dimensional manifold is discussed in detail.

About the authors

M. V. Shamolin

Lomonosov Moscow State University, Institute of Mechanics

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

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