Finiteness theorem for families of vector fields in the neighborhood of a Poincaré-type singularity

DOI10.1007/BF01078121zbMath0243.34008MaRDI QIDQ2554451

Yanyan Li

Publication date: 1972

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35)

Related Items (3)

Unnamed Item ⋮ Local analytic models for families of hyperbolic vector fields ⋮ Analytic properties of the complete formal normal form for the Bogdanov–Takens singularity ^*

Cites Work

• Unnamed Item
• Remarks on singularities of finite codimension in complex dynamical systems
• Changes of Variables Near a Periodic Surface or Invariant Manifold

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