Abelian integrals in unfoldings of codimension 3 singularities with nilpotent linear parts

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• 作者：Jicai Huang^a ; ^{hjc@mail.ccnu.edu.cn} ; Changjian Liu^b ; ^{liucj@suda.edu.cn} ; Jihua Wang^c ; ^{wangjh78@mail.sysu.edu.cn}
• 关键词：Codimension 3 nilpotent singularities ; Abelian integral ; Limit cycle ; Quadratic reversible system ; Chebyshev criterion ; Semi-algebraic system
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2017
• 出版时间：1 May 2017
• 年：2017
• 卷：449
• 期：1
• 页码：884-896
• 全文大小：392 K
• 卷排序：449

文摘

Unfoldings of codimension 3 singularities with nilpotent linear parts. Perturbations from one-parameter class of quadratic reversible vector fields. The estimation of the number of isolated zeros of Abelian integrals. Two concrete examples are proved in accord with the longstanding conjecture.