Identificador persistente para citar o vincular este elemento:
http://hdl.handle.net/10662/18274
Títulos: | Estimating the number of limit cycles for one step perturbed homogeneous degenerate centers |
Autores/as: | Molaei Derakhtenjani, M. Rabiei Motlagh, O. Mohammadi Nejad, H.M. |
Palabras clave: | Degenerate Center;Limit cycle;Lyapunov constant |
Fecha de publicación: | 2023 |
Editor/a: | Universidad de Extremadura, Servicio de Publicaciones |
Resumen: | We consider a homogeneous degenerate center of order 2m + 1 and perturb it by a homogeneous polynomial of order 2m. We study the Lyapunov constants around the origin to estimate the number of limit cycles. To do it, we classify the parameters and study their effect on the number of limit cycles. Finally, we nd that the perturbed degenerate center without any condition has at least two limit cycles, and the number of the bifurcated limit cycles could reach 2m + 3. |
URI: | http://hdl.handle.net/10662/18274 |
ISSN: | 0213-8743 |
DOI: | 10.17398/2605-5686.38.1.85 |
Colección: | Extracta Mathematicae Vol. 38, nº 1 (2023) |
Archivos
Archivo | Descripción | Tamaño | Formato | |
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2605-5686_38_1_85.pdf | 379,97 kB | Adobe PDF | Descargar |
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