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	Estimate of the number of zeros of Abelian integrals for an elliptic Hamiltonian with figure-of-eight loop
	Liu, CJ
	2003
关键词	HILBERT PROBLEM LINEAR ESTIMATE LIMIT-CYCLES PERTURBATIONS CENTERS CUSP
英文摘要	We study upper bounds of the number of zeros of Abelian integrals of polynomial 1-forms of degree n over the compact level curves Gamma(h) of the elliptic Hamiltonian of degree four, having a 'figure-of-eight loop'. Upper bounds are given for Gamma(h) lying inside the figure-of-eight loop and for Gamma(h) lying outside the figure-of-eight loop. The bounds are linearly dependent on n.; Mathematics, Applied; Physics, Mathematical; SCI(E); 7; ARTICLE; 3; 1151-1163; 16
语种	英语
出处	SCI
出版者	nonlinearity
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/315083]
专题	数学科学学院
推荐引用方式 GB/T 7714	Liu, CJ. Estimate of the number of zeros of Abelian integrals for an elliptic Hamiltonian with figure-of-eight loop. 2003-01-01.

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