LIMIT CYCLES FOR PLANAR SEMI-QUASI-HOMOGENEOUS POLYNOMIAL VECTOR FIELDS
@article{Zhao2011LIMITCF, title={LIMIT CYCLES FOR PLANAR SEMI-QUASI-HOMOGENEOUS POLYNOMIAL VECTOR FIELDS}, author={Yulin Zhao}, journal={Journal of Mathematical Analysis and Applications}, year={2011}, volume={397}, pages={276-284} }
9 Citations
Global Structure of Planar Quadratic Semi-Quasi-Homogeneous Polynomial Systems
- Mathematics
- 2019
This paper study the planar quadratic semi-quasi-homogeneous polynomial systems(short for PQSQHPS). By using the nilpotent singular points theorem, blow-up technique, Poincaré index formula, and…
Planar Semi-quasi Homogeneous Polynomial Differential Systems with a Given Degree
- MathematicsQualitative Theory of Dynamical Systems
- 2019
This paper study the planar semi-quasi homogeneous polynomial differential systems (PSQHPDS), which can be regarded as a generalization of semi-homogeneous and of quasi-homogeneous systems. By using…
Planar Semi-quasi Homogeneous Polynomial Differential Systems with a Given Degree
- MathematicsQualitative Theory of Dynamical Systems
- 2019
This paper study the planar semi-quasi homogeneous polynomial differential systems (PSQHPDS), which can be regarded as a generalization of semi-homogeneous and of quasi-homogeneous systems. By using…
Planar quasi-homogeneous polynomial systems with a given weight degree
- Mathematics
- 2016
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 are derived…
Limit cycles and global dynamic of planar cubic semi-quasi-homogeneous systems
- MathematicsDiscrete & Continuous Dynamical Systems - B
- 2021
Denote by CH, CSH, CQH, and CSQH the planar cubic homogeneous, cubic semi-homogeneous, cubic quasi-homogeneous and cubic semi-quasi-homogeneous differential systems, respectively. The problems on…
On the Limit Cycles Bifurcating from Piecewise Quasi-Homogeneous Differential Center
- MathematicsInt. J. Bifurc. Chaos
- 2016
A lower bound of the maximum number of limit cycles which bifurcate from the periodic annulus of the center under polynomial perturbation is obtained using the first order Melnikov function derived in Liu & Han, 2010.
Bifurcation of limit cycles and center problem for p:q homogeneous weight systems
- MathematicsNonlinear Analysis: Real World Applications
- 2019
Limit cycles of polynomial differential equations with quintic homogeneous nonlinearities
- Mathematics
- 2013
Center-focus determination and limit cycles bifurcation for $p:q$ homogeneous weight singular point
- Mathematics
- 2016
The quasi-homogeneous (and in general non-homogeneous) polynomial differential systems have been studied from many different points of view. In this paper, Center-focus determination and limit cycles…
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