Nilpotent global centers of generalized polynomial Kukles system with degree three

Nilpotent global centers of generalized polynomial Kukles system with degree three

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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Veröffentlicht in:Proceedings of the American Mathematical Society 2024-07, Vol.152 (9), p.3785-3800
Hauptverfasser: Chen, Hebai, Feng, Zhaosheng, Zhang, Rui
Format: Artikel
Sprache:eng
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Research article
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Zusammenfassung: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.
ISSN:0002-9939
1088-6826
DOI:10.1090/proc/16915