Limit cycles bifurcating from a degenerate center
Visualitza/Obre
10.1016/j.matcom.2015.05.005
Inclou dades d'ús des de 2022
Cita com:
hdl:2117/81601
Tipus de documentArticle
Data publicació2016-02-01
Condicions d'accésAccés obert
Llevat que s'hi indiqui el contrari, els
continguts d'aquesta obra estan subjectes a la llicència de Creative Commons
:
Reconeixement-NoComercial-SenseObraDerivada 3.0 Espanya
Abstract
We study the maximum number of limit cycles that can bifurcate from a degenerate center of a cubic homogeneous polynomial differential system. Using the averaging method of second order and perturbing inside the class of all cubic polynomial differential systems we prove that at most three limit cycles can bifurcate from the degenerate center. As far as we know this is the first time that a complete study up to second order in the small parameter of the perturbation is done for studying the limit cycles which bifurcate from the periodic orbits surrounding a degenerate center (a center whose linear part is identically zero) having neither a Hamiltonian first integral nor a rational one. This study needs many computations, which have been verified with the help of the algebraic manipulator Maple.
CitacióLlibre, J., Pantazi, C. Limit cycles bifurcating from a degenerate center. "Mathematics and computers in simulation", 01 Febrer 2016, vol. 120, p. 1-11.
ISSN0378-4754
Col·leccions
Fitxers | Descripció | Mida | Format | Visualitza |
---|---|---|---|---|
limitsdegenerateconapendixos.pdf | 356,9Kb | Visualitza/Obre |