Centers of quasi-homogeneous polynomial planar systems

A Algaba, N Fuentes, C García - Nonlinear Analysis: Real World …, 2012 - Elsevier
In this paper we determine the centers of quasi-homogeneous polynomial planar vector
fields of degree 0, 1, 2, 3 and 4. In addition, in every case we make a study of the reversibility …

[HTML][HTML] Centers of quasi-homogeneous polynomial differential equations of degree three

W Aziz, J Llibre, C Pantazi - Advances in mathematics, 2014 - Elsevier
We characterize the centers of the quasi-homogeneous planar polynomial differential
systems of degree three. Such systems do not admit isochronous centers. At most one limit …

[HTML][HTML] Planar quasi-homogeneous polynomial differential systems and their integrability

B García, J Llibre, JSP del Río - Journal of Differential Equations, 2013 - Elsevier
In this paper we study the quasi-homogeneous polynomial differential systems and provide
an algorithm for obtaining all these systems with a given degree. Using this algorithm we …

Planar quasi-homogeneous polynomial systems with a given weight degree

Y Xiong, M Han - Discrete and Continuous Dynamical Systems, 2016 - aimsciences.org
In this paper, we investigate a class of quasi-homogeneous polynomial systems with a given
weight degree. Firstly, by some analytical skills, several properties about this kind of systems …

Center problems and limit cycle bifurcations in a class of quasi-homogeneous systems

Y Xiong, M Han, Y Wang - International Journal of Bifurcation and …, 2015 - World Scientific
In this paper, we first classify all centers of a class of quasi-homogeneous polynomial
differential systems of degree 5. Then we extend this kind of systems to a generalized …

Limit Cycles Bifurcating from Planar Polynomial Quasi-Homogeneous Centers of Weight-Degree 3 with Nonsmooth Perturbations

S Sui, W Xu, Y Zhang - International Journal of Bifurcation and …, 2024 - World Scientific
In this paper, we estimate the number of limit cycles bifurcating from the periodic orbits of the
weight-homogeneous polynomial centers of weight-degree 3, when they are perturbed …

Bifurcation of limit cycles and center problem for p: q homogeneous weight systems

T Liu, F Li, Y Liu, S Li, J Wang - Nonlinear Analysis: Real World Applications, 2019 - Elsevier
The quasi-homogeneous polynomial differential systems have been studied from many
different points of view. In this paper, center problem and bifurcation of limit cycles for p: q …

Limit cycles and global dynamic of planar cubic semi-quasi-homogeneous systems.

Z He, H Liang, X Zhang - Discrete & Continuous Dynamical …, 2022 - search.ebscohost.com
Abstract Denote by CH, CSH, CQH, and CSQH the planar cubic homogeneous, cubic semi-
homogeneous, cubic quasi-homogeneous and cubic semi-quasi-homogeneous differential …

Classification and counting of planar quasi-homogeneous differential systems through their weight vectors

B Garcia, A Lombardero, JS Perez del Rio - Qualitative theory of …, 2018 - Springer
The quasi-homogeneous systems have important properties and they have been studied
from various points of view. In this work, we provide the classification of quasi-homogeneous …

Sufficient and Necessary Center Conditions for the Poincaré Systems P(2,  2n)(n ≤ 5)

J Xu, Z Lu - Journal of Applied Mathematics, 2011 - Wiley Online Library
Sufficient and Necessary Center Conditions for the Poincaré Systems P(2, 2n)(n ≤ 5) - Xu - 2011
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