# An analogue rotated vector field of polynomial system

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We perturb the vector field x = -yC(x, y), y = xC(X, Y) with a polynomial perturbation of degree n, where C(x, y) = (1 - y2)m, and study the number of limit cycles bifurcating from the period annulus surrounding the origin.

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In this paper, we study the existence and uniqueness of limit cycles for a particular polynomial system. Some known results are extended and improved.