Limit Cycles of a Class of Generalized Liénard Polynomial Equations

نویسنده

  • Hamamda Meriem
چکیده

In this paper we study the maximum number of limit cycles of the following generalized Liénard polynomial differential system of the first order ẋ = y2p−1 ẏ = −x2q−1 − εf (x, y) where p and q are positive integers, ε is a small parameter and f (x, y) is a polynomial of degree m. We prove that this maximum number depends on p, q and m. AMS subject classification:

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تاریخ انتشار 2016