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J. Bifurcation Chaos"],"published-print":{"date-parts":[[2018,11]]},"abstract":"<jats:p>In the integrability of polynomial differential systems it is well known that the invariant algebraic curves play a relevant role. Here we will see that they can also play an important role with respect to limit cycles.<\/jats:p><jats:p>In this paper, we study quadratic polynomial systems with an algebraic periodic orbit of degree [Formula: see text] surrounding a center. 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