Centers for generalized quintic polynomial differential systems

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2017
Author
Giné, Jaume
Llibre, Jaume
Valls, Claudia
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Giné, Jaume; Llibre, Jaume; Valls, Claudia; . (2017) . Centers for generalized quintic polynomial differential systems. Rocky Mountain Journal of Mathematics, 2017, vol. 47, núm. 4, p. 1097-1120. https://doi.org/10.1216/RMJ-2017-47-4-1097.
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Abstract
We classify the centers of polynomial differential systems in $R^2$ of odd degree $d \ge 5$, in complex notation, as $\dot{z} = iz + (z \bar z)^(d-5)/2(A z^5 + B z^4 \bar z + C z^3 \bar z^2 + D z^2 \bar z^3 + E z \bar z^4 + F \bar z^5)$, where $A,B,C,D,E, F \in mathbb{C}$ and either $A = Re(D) = 0$, $A = Im(D) = 0$, $Re(A) = D = 0$ or $Im(A) = D = 0$.
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http://hdl.handle.net/10459.1/60411
DOI
https://doi.org/10.1216/RMJ-2017-47-4-1097
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Rocky Mountain Journal of Mathematics, 2017, vol. 47, núm. 4, p. 1097-1120
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