On first integrals of groups of complex linear transformations and of natural mechanical systems with a homogeneous potential (Q1810005)
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scientific article; zbMATH DE number 1927808
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On first integrals of groups of complex linear transformations and of natural mechanical systems with a homogeneous potential |
scientific article; zbMATH DE number 1927808 |
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On first integrals of groups of complex linear transformations and of natural mechanical systems with a homogeneous potential (English)
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15 June 2003
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This paper is devoted to the existence problem for rational first integrals of groups of complex linear transformations. The author applies the obtaining results to study natural mechanical systems with homogeneous potential, in particular, the Suslov problem of the motion of a rigid body about a fixed point under a nonholonomic constraint in the Kozlov case of zero constant energy.
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first integral
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Suslov problem
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zero constant energy
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