Topological invariants for singularities of real vector fields in dimension three

DOI10.3934/DCDS.2008.20.823zbMath1170.37013OpenAlexW1997769676MaRDI QIDQ946958

Clementa Alonso-González, Felipe Cano, Maria Izabel Tavares Camacho

Publication date: 29 September 2008

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2008.20.823

zbMATH Keywords

singularitiesvector fieldstopological classificationblowing-upsqualitative theorysaddle-connections

Mathematics Subject Classification ID

Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Dynamics induced by flows and semiflows (37C10) Ordinary differential equations and connections with real algebraic geometry (fewnomials, desingularization, zeros of abelian integrals, etc.) (34C08)

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The limit set of trajectory in quasi-homogeneous system in ℝ³ ⋮ Stratification of three-dimensional real flows I: fitting domains ⋮ Topological equivalence of vector fields after blow-up ⋮ Singular Felipe

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