Topological Equivalence of Gradient Vectorfields

DOI10.2307/1998284zbMath0426.58015OpenAlexW4254213616MaRDI QIDQ3862132

Douglas S. Shafer

Publication date: 1980

Full work available at URL: https://doi.org/10.2307/1998284

zbMATH Keywords

phase portraitsdegenerate singularitylevel curvesfirst nonvanishing jettopological equivalence of gradient vectorfields

Mathematics Subject Classification ID

Vector fields, frame fields in differential topology (57R25) Theory of singularities and catastrophe theory (58K99) Differentiable maps on manifolds (58C25) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items

Singularities of gradient vector-fields in \(R^ 3\).

Cites Work

• Singularities of vector fields on the plane
• Topological equivalence of normally hyperbolic dynamical systems
• Singularities of vector fields
• On the Asymptotic Behaviour of Solutions of a Differential Equation in Boundary Layer Theory