scholarly journals A strong uniqueness theorem for planar vector fields

2001 ◽  
Vol 32 (3) ◽  
pp. 359-376
Author(s):  
S. Berhanu ◽  
J. Hounie
Keyword(s):  
Uniqueness Theorem ◽  
Vector Fields ◽  
Strong Uniqueness ◽  
Planar Vector Fields ◽  
Planar Vector

Normal Forms and Bifurcation of Planar Vector Fields

1994 ◽  
Author(s):  
Shui-Nee Chow ◽  
Chengzhi Li ◽  
Duo Wang
Keyword(s):  
Vector Fields ◽  
Normal Forms ◽  
Planar Vector Fields ◽  
Planar Vector

scholarly journals A New Normal Form for Monodromic Nilpotent Singularities of Planar Vector Fields

2021 ◽  
Vol 18 (5) ◽  
Author(s):  
Antonio Algaba ◽  
Cristóbal García ◽  
Jaume Giné
Keyword(s):  
Normal Form ◽  
Vector Fields ◽  
New Technique ◽  
Center Problem ◽  
New Normal ◽  
Planar Vector Fields ◽  
Planar Vector ◽  
A New Technique

AbstractIn this work, we present a new technique for solving the center problem for nilpotent singularities which consists of determining a new normal form conveniently adapted to study the center problem for this singularity. In fact, it is a pre-normal form with respect to classical Bogdanov–Takens normal formal and it allows to approach the center problem more efficiently. The new normal form is applied to several examples.

scholarly journals Codimension 4 singularities of reflectionally symmetric planar vector fields

1999 ◽  
Vol 43 ◽  
pp. 501-533 ◽  
Author(s):  
F. Dumortier ◽  
S. Ibáñez
Keyword(s):  
Vector Fields ◽  
Planar Vector Fields ◽  
Planar Vector

Linearization of smooth planar vector fields around singular points via commuting flows

2008 ◽  
Vol 7 (6) ◽  
pp. 1415-1428 ◽  
Author(s):  
Isaac A. García ◽  
◽  
Jaume Giné ◽  
Susanna Maza ◽  
Keyword(s):  
Vector Fields ◽  
Singular Points ◽  
Commuting Flows ◽  
Planar Vector Fields ◽  
Planar Vector
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