New cases of integrable systems with dissipation on tangent bundles of two- and three-dimensional spheres


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Abstract

Integrability in elementary functions is demonstrated for some classes of dynamic systems on tangent bundles of two- and three-dimensional spheres. The force fields possess the so-called variable dissipation with a zero mean and generalize those considered earlier.

About the authors

M. V. Shamolin

Research Institute of Mechanics

Author for correspondence.
Email: shamolin@rambler.ru
Russian Federation, Moscow, 117192

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