Abelian Integrals and Non-generic Turning Points

被引：0
|
作者：
Renato Huzak
David Rojas
机构：
[1] Hasselt University,Departament d’Informàtica, Matemàtica Aplicada i Estadística
[2] Campus Diepenbeek,undefined
[3] Universitat de Girona,undefined
来源：
Qualitative Theory of Dynamical Systems | 2022年 / 21卷
关键词：
Abelian integrals; Chebyshev systems; Planar turning points; 34E15; 34E17;
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学科分类号：
摘要：
In this paper we initiate the study of the Chebyshev property of Abelian integrals generated by a non-generic turning point in planar slow-fast systems. Such Abelian integrals generalize the Abelian integrals produced by a slow-fast Hopf point (or generic turning point), introduced in Dumortier et al. (Discrete Contin Dyn Syst Ser S 2(4):723–781, 2009), and play an important role in studying the number of limit cycles born from the non-generic turning point.
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