Abstract
We complete classification of germs of plane vector fields with quadratic leading part initiated in [1]. 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 [2] concerning the Bogdanov–Takens singularity.
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Stróżyna, E. (2018). Formal Normal Forms for Germs of Vector Fields with Quadratic Leading Part. The Rational First Integral Case. In: Kielanowski, P., Odzijewicz, A., Previato, E. (eds) Geometric Methods in Physics XXXV . Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-63594-1_14
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DOI: https://doi.org/10.1007/978-3-319-63594-1_14
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-63593-4
Online ISBN: 978-3-319-63594-1
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