Separatrices at singular points of planar vector fields

DOI10.1007/BF02414185zbMath0455.58020MaRDI QIDQ1150199

Stephen Schecter, Michael F. Singer

Publication date: 1980

Published in: Acta Mathematica (Search for Journal in Brave)

zbMATH Keywords

isolated singularity of an analytic vector field in the planenumber of separatrices

Mathematics Subject Classification ID

Vector fields, frame fields in differential topology (57R25) Qualitative theory for ordinary differential equations (34C99) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (5)

Local phase portraits through the Newton diagram of a vector field ⋮ Qualitative classification of singular points ⋮ A note on the Poincaré-Bendixson index theorem ⋮ Correction to Separatrices at singular points of planar vector fields ⋮ Critical points with asymmetric schemes

Cites Work

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• Correction to Separatrices at singular points of planar vector fields
• Singularities of vector fields on the plane
• Singularities of vector fields
• On a theorem of Bendixson
• Planar Polynomial Foliations
• Reduction of Singularities of the Differential Equation Ady = Bdx

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