Stable Vector Fields on Manifolds with Simple Singularities

DOI10.1112/plms/s3-45.1.97zbMath0504.58027OpenAlexW1981790175MaRDI QIDQ4741448

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Publication date: 1982

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/plms/s3-45.1.97

zbMATH Keywords

structurally stable vector fieldsgenericity theorem of Peixotomanifolds with simple singularitiesstructurally stable singularities

Mathematics Subject Classification ID

Structural stability and analogous concepts of solutions to ordinary differential equations (34D30) Singularities of differentiable mappings in differential topology (57R45) Stability theory for smooth dynamical systems (37C75) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (4)

Structural stability for 2-dimensional piecewise smooth vector fields where the switching manifold is a double discontinuity ⋮ Conley index theory for Gutierrez-Sotomayor flows on singular 3-manifolds ⋮ Homotopical Cancellation Theory for Gutierrez-Sotomayor Singular Flows ⋮ Gutierrez-Sotomayor flows on singular surfaces

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