On the universal unfolding of vector fields in one variable: a proof of Kostov's theorem

DOI10.1007/s12346-020-00416-yzbMath1451.37070arXiv2002.08444OpenAlexW3080655300MaRDI QIDQ2006996

Martin Klimeš, Christiane Rousseau

Publication date: 12 October 2020

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.08444

zbMATH Keywords

versal deformationsnormal forms of analytic vector fieldsunfolding of singularities

Mathematics Subject Classification ID

Differential forms in global analysis (58A10) Singularities of holomorphic vector fields and foliations (32S65) Complex vector fields, holomorphic foliations, (mathbb{C})-actions (32M25) Dynamical aspects of holomorphic foliations and vector fields (37F75)

Related Items (1)

The equivalence problem in analytic dynamics for 1-resonance

Cites Work

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• Formal classification of unfoldings of parabolic diffeomorphisms
• VERSAL DEFORMATIONS OF DIFFERENTIAL FORMS OF REAL DEGREE ON THE REAL LINE
• Generic 2-parameter perturbations of parabolic singular points of vector fields in ℂ
• Analytic moduli for unfoldings of germs of generic analytic diffeomorphisms with a codimension parabolic point

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