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Abelian Integrals and Limit Cycles

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This survey paper is devoted to introducing some basic concepts and methods about the application of Abelian integral to study the number of limit cycles, especially to the weak Hilbert’s 16th problem. We will introduce some recent results in this field.

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  1. School of Mathematical Sciences, Peking University, Beijing, 100871, China

    Chengzhi Li

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  1. Chengzhi Li
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This work is partially supported by NSFC-10831003 and by AGAUR Grant number 2009PIV00064.

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Li, C. Abelian Integrals and Limit Cycles. Qual. Theory Dyn. Syst. 11, 111–128 (2012). https://doi.org/10.1007/s12346-011-0051-z

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