Center conditions of a particular polynomial differential system with a nilpotent singularity

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:483

Article

Algaba, Antonio¹  Garcia, Cristobal¹  Gine, Jaume² 

[1] Univ Huelva, Fac Ciencias, Ctr Estudios Avanzados Fis Matemat & Comp, Huelva, Spain

[2] Univ Lleida, Dept Matemat, Inspires Res Ctr, Ave Janine II 69, Lleida 25001, Catalonia, Spain

关键词: Center problem;    Nilpotent singularity;    Orbitally reversibility;    Resultant method;   

DOI  :  10.1016/j.jmaa.2019.123639

来源: Elsevier

【 摘 要 】

In this work we study the center conditions of a particular polynomial differential system with a nilpotent singularity using a new proposed algorithm. This problem was initially studied in [19] where some center conditions were found using the Cherkas' method and its full characterization was established as an open problem. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free