Normal forms for germs of vector fields with quadratic leading part. The remaining cases
Volume 239 / 2017
Studia Mathematica 239 (2017), 133-173
MSC: Primary 05C38, 15A15; Secondary 05A15, 15A18.
DOI: 10.4064/sm8627-2-2017
Published online: 26 May 2017
Abstract
We complete the classification of germs of plane vector fields with quadratic leading part initiated in Stróżyna (2015). There, two cases were completely analyzed, a simplest one and a most complex one. Here we study the remaining cases. In the proofs we use a new method introduced in Stróżyna & Żołądek (2015) concerning the Bogdanov–Takens singularity.
