The reversibility problem for quasi-homogeneous dynamical systems (Q379491)
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scientific article; zbMATH DE number 6224508
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The reversibility problem for quasi-homogeneous dynamical systems |
scientific article; zbMATH DE number 6224508 |
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The reversibility problem for quasi-homogeneous dynamical systems (English)
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11 November 2013
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reversibility problem
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center problem
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quasi-homogeneous vector field
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Lie symmetries
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0.90958613
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0.9092357
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0.90616065
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0.90380484
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Consider quasi-homogeneous polynomial \(n\)-dimensional autonomous differential systems NEWLINE\[NEWLINE\dot x=F(x).NEWLINE\]NEWLINE Necessary and sufficient conditions for the reversibility of such systems are obtained. Necessary conditions for an arbitrary system to be orbital-reversible are derived. In the planar case, these results are adapted to get sufficient conditions for a center. Some applications to a family of degenerate planar systems are given.
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