A pseudo-normal form for planar vector fields. (Q1415967)
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scientific article; zbMATH DE number 2015874
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A pseudo-normal form for planar vector fields. |
scientific article; zbMATH DE number 2015874 |
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A pseudo-normal form for planar vector fields. (English)
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9 December 2003
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The authors present a pseudo-normal form for planar vector fields as an alternative to the Birkhoff normal form for a planar vector field with the origin as an equilibrium point. They prove its convergence for nonzero critical exponents \(\lambda\), \(-\lambda\), and they also present consequences for the center-focus problem.
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normal forms
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integrability
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Hamiltonian and reversible systems
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limit cycles
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