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Linear estimate of the number of zeros of Abelian integrals for quadratic centers having almost all their orbits formed by cubics
Authors:Email author" target="_blank">Yulin?ZhaoEmail author  Weigu?Li  Chengzhi?Li  Zhifen?Zhang
Institution:1. Department of Mathematics, Zhongshan University, Guangzhou 510275, China
2. School of Mathematical Sciences, Peking University, Beijing 100871, China
Abstract: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 degreen
Keywords:Abelian integrals  quadratic integrable system
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