Formal Normal Forms for Germs of Vector Fields with Quadratic Leading Part. The Rational First Integral Case

Ewa Stróżyna

Abstract

We complete classification of germs of plane vector fields with quadratic leading part initiated in a previous article on this subject. There were two cases 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 the work concerning the Bogdanov–Takens singularity.
Author Ewa Stróżyna (FMIS / DAST)
Ewa Stróżyna,,
- Department of Analysis and Sigularity Theory
Pages125-133
Publication size in sheets0.5
Book Kielanowski Piotr, Odzijewicz Anatol, Previato Emma (eds.): Geometric Methods in Physics XXXV (Workshop and Summer School, Białowieża, Poland, June 26 – July 2, 2016), Trends in Mathematics, 2018, Springer International Publishing, ISBN 978-3-319-63593-4, [978-3-319-63594-1], DOI:10.1007/978-3-319-63594-1
Keywords in Polishosobliwości płaskich pól wektorowych, formalne orbitalne formy normalne, nieorbitalne formy normalne
Keywords in Englishsingularity of plane vector field, formal orbital normal form, nonorbital normal form
Abstract in PolishW artykule naszkicowana została metoda otrzymywania postaci normalnych dla zespolonych, płaskich pól wektorowych zaczynających się od części kwadratowej, dla której całka pierwsza jest wymierna.
DOIDOI:10.1007/978-3-319-63594-1_14
URL 10.1007/978-3-319-63594-1_14
Languageen angielski
Score (nominal)0
ScoreMinisterial score = 0.0, 24-08-2018, BookChapterNotSeriesNotMainLanguages
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