The case of integrable systems with dissipation on the tangent bundle of a multidimensional sphere (Q1701764)
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scientific article; zbMATH DE number 6844040
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The case of integrable systems with dissipation on the tangent bundle of a multidimensional sphere |
scientific article; zbMATH DE number 6844040 |
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The case of integrable systems with dissipation on the tangent bundle of a multidimensional sphere (English)
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27 February 2018
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The author studies the integrability of dynamical systems of some classes arising in multidimensional dynamics. The force fields under consideration is assumed to possess the so-called variable dissipation with zero mean and generalize the cases studied earlier. Specifically, the author studies motion of points on an \(n\)-dimensional sphere in nonconservative force fields. The existence of the first integrals is investigated for several specific cases.
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integrability
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multidimensional dynamics
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dissipation
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