Limit Cycles for a Generalized Kukles Polynomial Differential Systems
نویسندگان
چکیده
We study the limit cycles of a generalized Kukles polynomial differential systems using the averaging theory of first and second order.
منابع مشابه
Centers and limit cycles of polynomial differential systems of degree 4 via averaging theory
In this paper we classify the phase portraits in the Poincaré disc of the centers of the generalized class of Kukles systems ẋ = −y, ẏ = x+ axy + bxy, symmetric with respect to the y-axis, and we study, using the averaging theory up to sixth order, the limit cycles which bifurcate from the periodic solutions of these centers when we perturb them inside the class of all polynomial differential s...
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