Centers for a class of generalized quintic polynomial differential systems
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Issue date
2014Suggested citation
Giné, Jaume;
Llibre, Jaume;
Valls, Claudia;
.
(2014)
.
Centers for a class of generalized quintic polynomial differential systems.
Applied Mathematics and Computation, 2014, vol. 242, p. 187-195.
https://doi.org/10.1016/j.amc.2014.05.047.
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Abstract
We classify the centers of the polynomial differential systems in R2 of degree d ≥ 5 odd that in complex notation writes as z˙ = iz + (zz¯)d−5/2 (Az5 + Bz4z¯ + Cz3z¯2 + Dz2z¯3 + Ezz¯4 + Fz¯5), where A, B, C, D, E, F ∈ C and either A = Re(D) = 0, or A = Im(D) = 0, or Re(A) = D = 0, or Im(A) = D = 0.