Regilene Oliveira

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Keywords: Resonant center problem First integral Lotka–Volterra systems a b s t r a c t In this paper we obtain conditions on the coefficients of a cubic Lotka–Volterra system of the form _ x ¼ xð2 À a 20 x 2 À a 11 xy À a 02 y 2 Þ; _ y ¼ yðÀ3 þ b 20 x 2 þ b 11 xy þ b 02 y 2 Þ; ð1Þ which fulfillment yields the existence in a neighborhood of the origin of a(More)
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