Singularities and bifurcations of 3-dimensional Poisson structures (Q5937677)
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scientific article; zbMATH DE number 1620038
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Singularities and bifurcations of 3-dimensional Poisson structures |
scientific article; zbMATH DE number 1620038 |
Statements
Singularities and bifurcations of 3-dimensional Poisson structures (English)
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12 July 2001
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This paper deals with the classification results for local integrable 1-forms on \(\mathbb{R}^3\) defined up to multiplication by a nonvanishing function. The main result, allowing the authors to analyze singularities and bifurcations, is a versal unfolding of any Poisson structure having nonzero 1-jet at the origin.
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normal forms
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solvable Lie algebra
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integrable Pfaffian
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