Estimating the number of limit cycles for one step perturbed homogeneous degenerate centers
نویسندگان
چکیده
We consider a homogeneous degenerate center of order 2m + 1 and perturb it by polynomial 2m. study the Lyapunov constants around origin to estimate number limit cycles. To do it, we classify parameters their effect on Finally, find that perturbed without any condition has at least two cycles, bifurcated cycles could reach 3.
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ژورنال
عنوان ژورنال: Extracta mathematicae
سال: 2023
ISSN: ['0213-8743', '2605-5686']
DOI: https://doi.org/10.17398/2605-5686.38.1.85