Measure-preserving symmetries and reversibilities of ordinary differential systems (Q2208975)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Measure-preserving symmetries and reversibilities of ordinary differential systems |
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Measure-preserving symmetries and reversibilities of ordinary differential systems (English)
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28 October 2020
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The author studies the dynamics induced by a class of \(n\)-dimensional ordinary autonomous differential systems with measure-preserving symmetries. It is proved that for such systems both divergence and the divergence derivatives along the solutions are preserved. The results obtained are applied to planar Lotka-Volterra and Liénard systems.
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ordinary autonomous differential system
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measure-preserving symmetry
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area-preserving symmetry
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reversibility
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Lotka-Volterra system
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Liénard system
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