Results 241 to 250 of about 12,964 (262)

An efficient method for computing Liouvillian first integrals of planar polynomial vector fields

Journal of Differential Equations, 2021
Luis antonio da Mota, L G S Duarte
exaly  

On the polynomial vector fields on S^2

2011
Agraïments: The second author is partially supported by the Spanish grant SAB2005-0029, NSF of China (No. 10871214) and Program for New Century Excellent Talents in University.
Llibre, Jaume, Zhao, Yulin
openaire   +1 more source

On the limit cycles of polynomial vector field

2011
In this paper we study the limit cycles which can bifurcate from the periodic orbits of the center located at the origin of the quadratic polynomial differential system x˙ = -y(1+x), y˙ = x(1+x), and of the cubic polynomial differential system x˙ = -y(1-x2 -y 2 ), y˙ = x(1 - x2 - y 2 ), when we perturb them in the class of all polynomial vector fields ...
Llibre, Jaume, Swirszcz, Grzegorz
openaire   +1 more source

Algebraic Integrability of Planar Polynomial Vector Fields by Extension to Hirzebruch Surfaces

Qualitative Theory of Dynamical Systems, 2022
Carlos Galindo, Francisco Monserrat, Elvira Pérez-Callejo   +2 more
exaly  

Polynomial and quasi-polynomial vector fields

2001
openaire   +1 more source

A class of reversible quadratic polynomial vector fields on

Journal of Mathematical Analysis and Applications, 2010
Claudio Pessoa
exaly  

On the reversible quadratic polynomial vector fields on

Journal of Mathematical Analysis and Applications, 2012
Claudio Pessoa
exaly  

DARBOUXIAN INTEGRABILITY OF POLYNOMIAL VECTOR FIELDS WITH SPECIAL EMPHASIS ON THE TWO-DIMENSIONAL SURFACES

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2002
Jaume Llibre
exaly  

Generalized normal forms for polynomial vector fields

Journal Des Mathematiques Pures Et Appliquees, 2001
Patricia Yanguas, Jesús Palacián
exaly  

Centers for polynomial vector fields of arbitrary degree

Communications on Pure and Applied Analysis, 2009
Claudia Valls, Jaume Llibre
exaly