LIMIT CYCLES OF QUARTIC AND QUINTIC POLYNOMIAL DIFFERENTIAL SYSTEMS VIA AVERAGING THEORY
LIMIT CYCLES OF QUARTIC AND QUINTIC POLYNOMIAL DIFFERENTIAL SYSTEMS VIA AVERAGING THEORY作者机构：Dept. of Math.University of Annaba
出 版 物：《Annals of Differential Equations》 (微分方程年刊（英文版）)
年 卷 期：2011年第27卷第1期
页 面：70-85页
学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学]
主 题：limit cycle averaging method conic
摘 要：We study the maximum number of limit cycles that can bifurcate from the period annulus surrounding the origin of a class of cubic polynomial differential systems using the averaging theory. More precisely,we prove that the perturbations of the period annulus of the center located at the origin of a cubic polynomial differential system,by arbitrary quartic and quintic polynomial differential systems,there respectively exist at least 8 and 9 limit cycles bifurcating from the periodic orbits of the period annulus using the first order averaging method.
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