Quadratic perturbations of a class of quadratic reversible center of genus one  

作　　者：LIANG HaiHua WU KuiLin ZHAO YuLin 

机构地区：[1]Department of Computer Science, Guangdong Polytechnic Normal University [2]College of Science, Guizhou University [3]Department of Mathematics, Sun Yat-sen University

出　　处：《Science China Mathematics》2013年第3期577-596,共20页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China (Grant Nos.11126318, 11201086 and 11171355) ;the Ph.D. Programs Foundation of Ministry of Education of China (GrantNo. 20100171110040)

摘　　要：This paper is concerned with the quadratic perturbations of a one-parameter family of quadratic reversible system, having a center of genus one. The exact upper bound of the number of limit cycles emerging from the period annulus surrounding the center of the unperturbed system is given.This paper is concerned with the quadratic perturbations of a one-parameter family of quadratic reversible system, having a center of genus one. The exact upper bound of the number of limit cycles emerging from the period annulus surrounding the center of the unperturbed system is given.

关 键 词：quadratic perturbations quadratic reversible system limit cycle abelian integral 

分 类 号：O153.3[理学—数学]