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	Linear estimate of the number of zeros of Abelian integrals for a class of integrable non-Hamiltonian systems
	Li, C. ; Li, W. ; Llibre, J. ; Zhang, Z.
	2001
英文摘要	We consider the class of all polynomial systems having a conic center (i.e. all periodic orbits round the center are conics). It is proved that all such systems have an isochronous center, and up to affine transformations of the coordinates, each such system coincides with linear isochronous center (S0), quadratic isochronous centers (S1),(S2) due to Loud's classification or a special kind of a cubic isochronous system (S*). Moreover, it is proved that the upper bounds of the number of zeros of Abelian integrals of (S1), (S2) and (S*) in case of time reversible, are linearly dependent on n, when such systems are perturbed inside the class of all polynomial systems of degree n.; EI; 0; 7; 4527-4531; 47
语种	英语
出处	EI
出版者	nonlinear analysis theory methods and applications
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/262722]
专题	数学科学学院
推荐引用方式 GB/T 7714	Li, C.,Li, W.,Llibre, J.,et al. Linear estimate of the number of zeros of Abelian integrals for a class of integrable non-Hamiltonian systems. 2001-01-01.

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