Local Bifurcation of Critical Periods for a Class of Liénard Equations  

作　　者：Yi SHAO Chun-xiang A 

机构地区：[1]School of Mathematics and Statistics,Zhaoqing University

出　　处：《Acta Mathematicae Applicatae Sinica》2014年第3期627-634,共8页应用数学学报（英文版）

基　　金：supported by the National Natural Science Foundation of China(No.11201086 and No.11301105)

摘　　要：In this paper, we study the local bifurcation of critical periods near the nondegenerate center （the origin） of a class of Li@nard equations with degree 2n, and prove that at most 2n - 2 critical periods （taken into account multiplicity） can be produced from a weak center of finite order. We also prove that it can have exactly 2n - 2 critical periods near the origin.In this paper, we study the local bifurcation of critical periods near the nondegenerate center （the origin） of a class of Li@nard equations with degree 2n, and prove that at most 2n - 2 critical periods （taken into account multiplicity） can be produced from a weak center of finite order. We also prove that it can have exactly 2n - 2 critical periods near the origin.

关 键 词：period function critical periods local bifurcation 

分 类 号：O175[理学—数学]