Limit cycles for continuous and discontinuous perturbations of uniform isochronous cubic centers (Q464652)
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scientific article; zbMATH DE number 6362056
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Limit cycles for continuous and discontinuous perturbations of uniform isochronous cubic centers |
scientific article; zbMATH DE number 6362056 |
Statements
Limit cycles for continuous and discontinuous perturbations of uniform isochronous cubic centers (English)
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28 October 2014
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polynomial vector field
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limit cycle
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averaging method
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periodic orbit
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uniform isochronous center
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The authors consider planar cubic vector fields having a uniform isochronous center, following the results of Collins. There are two families of such systems. The study of integrability and phase portraits is given. Moreover from the two families some different families of systems (continuous and discontinuous) are provided in order to study the limit cycles that can bifurcate from the initial families. This study is done by using the averaging method.NEWLINENEWLINEThe paper demonstrates the application of averagin theory to some different order and to both continuous and discontinuous systems.
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