论文信息 - Limit cycles of a class of polynomial systems

Limit cycles of a class of polynomial systems

We study the class of polynomial vector fields of the form = αx — y + P n (x, y) , = x + αy + Q n (x, y) , where P n and Q n are homogeneous polynomials of degree n . If we define the functions f(x, y) = xP n (x, y) + yQ n (x, y) and g(x, y) = xQ n (x, y)−yP n (x, y) , we characterise the number of limit cycles for this class when the function g(αg − f) does not change sign.

Jaume Llibre | J. Llibre | Marc Carbonell | M. Carbonell

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