Analytical classification of singular saddle-node vector fields

DOI10.1023/B:JODS.0000045365.56394.B4zbMath1068.37033OpenAlexW2004683274MaRDI QIDQ1771186

Xianqiang Yang

Publication date: 7 April 2005

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:jods.0000045365.56394.b4

zbMATH Keywords

foliationholomorphic vector fieldanalytic classificationasymptotic cyclesfunctional moduliSaddlenode singularity

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Dynamics induced by flows and semiflows (37C10) Singularities of vector fields, topological aspects (58K45) Singularities of holomorphic vector fields and foliations (32S65) Formal solutions and transform techniques for ordinary differential equations in the complex domain (34M25) Dynamical aspects of holomorphic foliations and vector fields (37F75)

Related Items (8)

Germ of presentable foliations of the complex plane ⋮ About formal normal form of the semi-hyperbolic maps germs on the plane ⋮ Modulus of analytic classification for the generic unfolding of a codimension 1 resonant diffeomorphism or resonant saddle ⋮ Classification of absolutely dicritical foliations of CUSP type ⋮ Analytic normal forms for convergent saddle-node vector fields ⋮ Analytic classification of saddle nodes ⋮ Two dimensional neighborhoods of elliptic curves: analytic classification in the torsion case ⋮ Coalescing Complex Planar Stationary Points

This page was built for publication: Analytical classification of singular saddle-node vector fields