Singularities of vector fields on the plane with pointed direction

DOI10.1007/BF01390232zbMath0423.58011MaRDI QIDQ1134434

R. I. Bogdanov

Publication date: 1979

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142681

zbMATH Keywords

normal formsC-infinity-sufficient jets of vector fieldsresolution of singularities of vector fieldsstationary subgroup of pointed divisorvector fields on manifolds with pointed divisorsvector fields on the plane

Mathematics Subject Classification ID

Theory of singularities and catastrophe theory (58K99) Differentiable maps on manifolds (58C25) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (6)

Algebras of first integrals of finitely modal singularities of vector fields ⋮ Curves in a foliated plane ⋮ Local relative integral invariants determined by the phase portrait of a vector field on the plane ⋮ Completely symmetric centers ⋮ Algebraically and analytically solvable local problems in the theory of ordinary differential equations ⋮ Integrals of semiintegrable \(k\)-tuples of germs of vector fields in the plane

Cites Work

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• Versal deformations of singular points of vector fields on a plane
• Singularities of vector fields on the plane
• Classification of irreducible noncuspidal representations of \(GL_n\) over the \(p\)-adic field
• Singularities of vector fields
• Normal forms for certain singularities of vectorfields

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