On the local structure of real vector fields at a dicritical singularity

DOI10.1006/JDEQ.1998.3524zbMath0916.58037OpenAlexW2080054397MaRDI QIDQ1286353

Maria Izabel Tavares Camacho

Publication date: 22 July 1999

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.1998.3524

zbMATH Keywords

singular pointdicritical pointtopological finite determinacy

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Theory of singularities and catastrophe theory (58K99) Differentiable maps on manifolds (58C25)

Related Items (1)

The topology of flows near a dicritical singularity.

Cites Work

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• Stability of vector fields on \({\mathbb{R}}^ 3\) determined by the first non- vanishing jet
• Singularities of gradient vector-fields in \(R^ 3\).
• Genericity of hyperbolic homogeneous vector fields in \(\mathbb{R}^ 3\)
• Singularities of vector fields on ℝ³ determined by their first non-vanishing jet
• Structural stability on manifolds with boundary

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