On the polynomial integrability of the Hoyer systems (Q1931568)
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scientific article; zbMATH DE number 6125395
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the polynomial integrability of the Hoyer systems |
scientific article; zbMATH DE number 6125395 |
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On the polynomial integrability of the Hoyer systems (English)
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14 January 2013
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The 3D-Hoyer system of ordinary differential equations is treated. Particular systems of Hoyer-type are the Euler systems describing the motion of a free rigid body and the Lotka-Volterra systems met in ecology and Halphen systems. The authors provide necessary conditions for the Hoyer system to have two independent first integrals. Moreover, the authors illustrate how these first integrals can be computed using the so-called Kowalevsky exponents.
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polynomial first integrals
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Hoyer systems
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homogeneous differential systems
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