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We consider a generalized pendulum equation depending on the scalar parameter µ having for µ = 0 a limit cycle Γ of the second kind and of multiplicity three. We study the bifurcation behavior of Γ for −1 ≤ µ ≤ (√ 5 + 3)/2 by means of a Dulac-Cherkas function.fatcat:354tbyqy6bfttii2bm7wlcwl7y