Nilpotent global centers of generalized polynomial Kukles system with degree three

Chen, Hebai; Feng, Zhaosheng; Zhang, Rui

doi:10.1090/proc/16915

Nilpotent global centers of generalized polynomial Kukles system with degree three
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by Hebai Chen, Zhaosheng Feng and Rui Zhang;

Proc. Amer. Math. Soc. 152 (2024), 3785-3800

DOI: https://doi.org/10.1090/proc/16915

Published electronically: July 31, 2024

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Abstract:

In this paper, we study and characterize the nilpotent global centers of a generalized polynomial Kukles system with degree three. A sufficient and necessary condition of global centers is established under certain parametric conditions.

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