Abstract
We provide 22 different global phase portraits in the Poincaré disk of all centers of the so-called Kukles polynomial differential systems of the form $\dot{x} = -y$, $\dot{y} = x+Q_5(x,y)$, where $Q_5$ is a real homogeneous polynomial of degree 5 defined in $\mathbb{R}^2$.
Citation
Jaume Llibre. Maurício Fronza da Silva. "Global phase portraits of Kukles differential systems with homogenous polynomial nonlinearities of degree 5 having a center." Topol. Methods Nonlinear Anal. 48 (1) 257 - 282, 2016. https://doi.org/10.12775/TMNA.2016.049
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