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	Limit Cycles Bifurcating from the Period Annulus of Quasi-Homogeneous Centers
	Li, Weigu ; Llibre, Jaume ; Yang, Jiazhong ; Zhang, Zhifen
	2009
关键词	Homogeneous centers Quasi-homogeneous centers Limit cycles QUADRATIC HAMILTONIAN-SYSTEMS COMPLETE ABELIAN-INTEGRALS HILBERTS 16TH PROBLEM VECTOR-FIELDS POLYNOMIAL PERTURBATIONS EXPONENTIAL ESTIMATE ISOCHRONOUS CENTERS ELLIPTIC INTEGRALS LINEAR ESTIMATE ALMOST-ALL
英文摘要	We provide upper bounds for the maximum number of limit cycles bifurcating from the period annulus of any homogeneous and quasi-homogeneous center, which can be obtained using the Abelian integral method of first order. We show that these bounds are the best possible using the Abelian integral method of first order. We note that these centers are in general non-Hamiltonian. As a consequence of our study we provide the biggest known number of limit cycles surrounding a unique singular point in terms of the degree n of the system for arbitrary large n.; Mathematics, Applied; Mathematics; SCI(E); 0; ARTICLE; 1; 133-152; 21
语种	英语
出处	SCI
出版者	journal of dynamics and differential equations
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/157732]
专题	数学科学学院
推荐引用方式 GB/T 7714	Li, Weigu,Llibre, Jaume,Yang, Jiazhong,et al. Limit Cycles Bifurcating from the Period Annulus of Quasi-Homogeneous Centers. 2009-01-01.

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