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

DOI10.1016/0022-0396(83)90039-6zbMath0468.58017OpenAlexW1973806428MaRDI QIDQ1156417

Douglas S. Shafer

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0022-0396(83)90039-6

zbMATH Keywords

degenerate singularitiesnon-hyperbolic equilibriasingularities of gradient vectorfields in 3-space

Mathematics Subject Classification ID

Structural stability and analogous concepts of solutions to ordinary differential equations (34D30) Theory of singularities and catastrophe theory (58K99) Stability theory for smooth dynamical systems (37C75) Differentiable maps on manifolds (58C25) Local and nonlocal bifurcation theory for dynamical systems (37G99) Morse-Smale systems (37D15)

Related Items (5)

Smooth invariant curves of singularities of vector fields on \({\mathbb{R}}^ 3\) ⋮ Stability of vector fields on \({\mathbb{R}}^ 3\) determined by the first non- vanishing jet ⋮ Singularities of vector fields on ℝ³ determined by their first non-vanishing jet ⋮ Genericity of hyperbolic homogeneous vector fields in \(\mathbb{R}^ 3\) ⋮ On the local structure of real vector fields at a dicritical singularity

Cites Work

• Singularities of vector fields
• Topological Equivalence of Gradient Vectorfields
• More Counterexamples to Coleman's Conjecture
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