The Case of Integrable Systems with Dissipation on the Tangent Bundle of a Multidimensional Sphere


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Abstract

We establish the integrability of dynamical systems of some classes arising in multidimensional dynamics. The force fields under consideration possess the so-called variable dissipation with zero mean and generalize the studied earlier ones.

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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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