The Bifurcation Diagram of Cubic Polynomial Vector Fields on CP1

DOI10.4153/CMB-2016-095-3zbMath1372.37095arXiv1506.07120OpenAlexW2907258951MaRDI QIDQ5274825

Christiane Rousseau

Publication date: 6 July 2017

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.07120

zbMATH Keywords

bifurcation diagramcomplex polynomial vector fieldDouady-Sentenac invariant

Mathematics Subject Classification ID

Ordinary differential equations on complex manifolds (34M45) Moduli and deformations for ordinary differential equations (e.g., Knizhnik-Zamolodchikov equation) (32G34) Hyperbolic singular points with homoclinic trajectories in dynamical systems (37G20) Dynamical aspects of holomorphic foliations and vector fields (37F75)

Related Items (4)

Remarks on rational vector fields on \(\mathbb{CP}^1\) ⋮ Symmetries of complex analytic vector fields with an essential singularity on the Riemann sphere ⋮ Generic 2-parameter perturbations of parabolic singular points of vector fields in ℂ ⋮ Two-parameter unfolding of a parabolic point of a vector field in \(\mathbb{C}\) fixing the origin

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