Separatrices for real analytic vector fields in the plane

zbMath1504.32083arXiv1911.12803MaRDI QIDQ5047975

Eduardo Cabrera, Rogério S. Mol

Publication date: 17 November 2022

Full work available at URL: https://arxiv.org/abs/1911.12803

zbMATH Keywords

singularitiesreal analytic vector field in the plane

Mathematics Subject Classification ID

Singularities of holomorphic vector fields and foliations (32S65) Dynamical aspects of holomorphic foliations and vector fields (37F75) Qualitative theory for ordinary differential equations (34Cxx)

Cites Work

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• ON CAMACHO–SAD'S THEOREM ABOUT THE EXISTENCE OF A SEPARATRIX
• Dulac's memoir “On limit cycles” and related problems of the local theory of differential equations
• Construction of invariant curves for singular holomorphic vector fields
• Differentiable equisingularity of holomorphic foliations
• Rigidity for dicritical germ of foliation in ℂ2
• Reduction of Singularities of the Differential Equation Ady = Bdx
• Invariant curves and topological invariants for real plane analytic vector fields

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