LIMIT CYCLES OF QUARTIC AND QUINTIC POLYNOMIAL DIFFERENTIAL SYSTEMS VIA AVERAGING THEORY

• 作者: A. Makhlouf Y. Bouattia
• 来源期刊: 微分方程年刊：英文版
• 学科: 数学
• 年，卷（期）: 2011,（1）
• 页码范围: 70-85
• 页数: 16页
• 分类号: O17

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 annu...