Generic 2-parameter perturbations of parabolic singular points of vector fields in ℂ

DOI10.1090/ecgd/325zbMath1403.37057arXiv1710.00883OpenAlexW2963091004MaRDI QIDQ4687476

Martin Klimeš, Christiane Rousseau

Publication date: 12 October 2018

Published in: Conformal Geometry and Dynamics of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.00883

zbMATH Keywords

bifurcation diagramequivalence classes of germs

Mathematics Subject Classification ID

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 (5)

Dynamics of singular complex analytic vector fields with essential singularities II ⋮ Remarks on rational vector fields on \(\mathbb{CP}^1\) ⋮ On the universal unfolding of vector fields in one variable: a proof of Kostov's theorem ⋮ Two-parameter unfolding of a parabolic point of a vector field in \(\mathbb{C}\) fixing the origin ⋮ Analytic classification of families of linear differential systems unfolding a resonant irregular singularity

Cites Work

• Unnamed Item
• Unnamed Item
• Versal deformations of differential forms of degree \(\alpha\) on a line
• Limit-cycles and rotated vector fields
• Formal classification of unfoldings of parabolic diffeomorphisms
• Classification of complex polynomial vector fields in one complex variable
• Analytic moduli for unfoldings of germs of generic analytic diffeomorphisms with a codimension parabolic point
• The Bifurcation Diagram of Cubic Polynomial Vector Fields on CP¹

This page was built for publication: Generic 2-parameter perturbations of parabolic singular points of vector fields in ℂ