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5. Linear estimate of the number of zeros of Abelian integrals for quadratic centers having almost all

Linear estimate of the number of zeros of Abelian integrals for quadratic centers having almost all

来源 :中国科学：数学英文版 | 被引量 : 0次 | 上传用户：cheqiu

【摘 要】

：

We study the number of zeros of Abelian integrals for the quadratic centers having almost all their orbits formed by cubics, when we perturb such systems inside

【作 者】

：

ZHAO Yulin(赵育林) LI Weigu(李伟固) 

【机 构】

：

DepartmentofMathematics

【出 处】

：

中国科学：数学英文版

【发表日期】

：

2002年8期

【关键词】

：

ABELIAN integrals QUADRATIC INTEGRABLE system. Abelian integrals quadratic inte 

【基金项目】

：

This work was supported by the National Natural Science Foundation of China (Grant No. 10101031), Guangdong Natural Science Foundations (Grant No. 001289) and Natural Science Foundation of Zhongshan U

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We study the number of zeros of Abelian integrals for the quadratic centers having almost all their orbits formed by cubics, when we perturb such systems inside the class of all polynomial systems of degree n.

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