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New Cases of Homogeneous Integrable Systems with Dissipation on Tangent Bundles of Two-Dimensional Manifolds

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The integrability of certain classes of homogeneous dynamical systems on the tangent bundles of two-dimensional manifolds is shown. The force fields involved in the systems lead to dissipation of variable… Click to show full abstract

The integrability of certain classes of homogeneous dynamical systems on the tangent bundles of two-dimensional manifolds is shown. The force fields involved in the systems lead to dissipation of variable sign and generalize previously considered fields.

Keywords: new cases; dissipation; dimensional manifolds; bundles two; tangent bundles; two dimensional

Journal Title: Doklady Mathematics
Year Published: 2020

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