Bifurcations of limit cycles in equivariant quintic planar vector fields (Q458326)
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scientific article; zbMATH DE number 6351996
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Bifurcations of limit cycles in equivariant quintic planar vector fields |
scientific article; zbMATH DE number 6351996 |
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Bifurcations of limit cycles in equivariant quintic planar vector fields (English)
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7 October 2014
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By means of the Poincaré-Pontryagin and Poincaré-Bendixson theorems, the author obtains 23 limit cycles for a \(Z_3\)-equivariant near-Hamiltonian system of degree 5 which is a perturbation of a \(Z_6\)-equivariant quintic Hamiltonian system.
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quintic system
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equivariant vector field
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limit cycle
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Abelian integral
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