2021
DOI: 10.1155/2021/6625657
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Sharp Bound of the Number of Zeros for a Liénard System with a Heteroclinic Loop

Abstract: In the presented paper, the Abelian integral I h of a Liénard system is investigated, with a heteroclinic loop passing through a nilpotent saddle. By using a new algebraic criterion, we try to find the least upper bound of the number of limit cycles bifurcating from periodic annulus.

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