The third order Melnikov function of a quadratic center under quadratic perturbations
نویسندگان
چکیده
منابع مشابه
The Third Order Melnikov Function of a Quadratic Center under Quadratic Perturbations
We study quadratic perturbations of the integrable system (1 + x)dH, where H = (x2 + y2)/2. We prove that the first three Melnikov functions associated to the perturbed system give rise at most to three limit cycles.
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2007
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2006.09.008