Monodromy, center-focus and integrability problems for quasi-homogeneous polynomial systems (Q2653998)
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| Language | Label | Description | Also known as |
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| English | Monodromy, center-focus and integrability problems for quasi-homogeneous polynomial systems |
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Monodromy, center-focus and integrability problems for quasi-homogeneous polynomial systems (English)
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15 January 2010
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Among all quasi-homogeneous polynomial vector fields on the plane, the authors characterize which ones are monodromic (that is, admit a Poincaré first return map in a neighborhood of the origin). Among monodromic systems they give conditions that distinguish foci from centers. Finally, they characterize integrability of such systems.
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quasi-homogeneous vector field
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monodromy
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