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A poincar�-bendixson theorem for analytic families of vector fields
D. PanazzoloRobert Roussariesubject
Pure mathematicsVector measureSolenoidal vector fieldJet (mathematics)General MathematicsMathematical analysisVector fieldSingular point of a curveDirection vectorPoincaré–Bendixson theoremMathematicsVector potentialdescription
We provide a characterization of the limit periodic sets for analytic families of vector fields under the hypothesis that the first jet is non-vanishing at any singular point. Also, applying the family desingularization method, we reduce the complexity of some of these sets.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1995-03-01 | Boletim da Sociedade Brasileira de Matem�tica |