scholarly journals Non-algebraic invariant curves for polynomial planar vector fields

2004 ◽  
Vol 10 (3) ◽  
pp. 755-768 ◽  
Author(s):  
Isaac A. García ◽  
◽  
Jaume Giné
Keyword(s):  
Vector Fields ◽  
Invariant Curves ◽  
Algebraic Invariant ◽  
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.

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
Sign in / Sign up

Export Citation Format

Share Document