Global analytic integrability of the Rabinovich system (Q958983)
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scientific article; zbMATH DE number 5380139
| Language | Label | Description | Also known as |
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| English | Global analytic integrability of the Rabinovich system |
scientific article; zbMATH DE number 5380139 |
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Global analytic integrability of the Rabinovich system (English)
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10 December 2008
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The authors consider the Rabinovich differential system \[ \dot{x}=hy-v_1x+yz,\quad \dot{y}=hx-v_2y-xz,\quad \dot{z}=-v_3z+xy \tag{1} \] with \(h, v_1, v_2, v_3\) being real parameters. Sufficient conditions for the existence and nonexistence of a global analytic first integral of (1) are given.
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analytic first integral
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Rabinovich system
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