Weak Centers and Local Bifurcations of Critical Periods at Infinity for a Class of Rational Systems  

作　　者：Wen-tao HUANG Valery G.ROMANOVSKI WEI-NIAN ZHANG 

机构地区：[1]School of Mathematics and Computing Science, Guilin University of Electronic Technology [2]Center for Applied Mathematics and Theoretical Physics, University of Maribor [3]School of Mathematics, Sichuan University

出　　处：《Acta Mathematicae Applicatae Sinica》2013年第2期377-390,共14页应用数学学报（英文版）

基　　金：supported by the National Natural Science Foundation of China (10961011);the Slovene Human Resources and Scholarship Fund;the Slovenian Research Agency, by the Nova Kreditna Banka Maribor, by TELEKOM Slovenije and by the Transnational Access Programme at RISC-Linz of the European Commission Framework 6 Programme for Integrated Infrastructures Initiatives under the project SCIEnce (Contract No. 026133)

摘　　要：We describe an approach to studying the center problem and local bifurcations of critical periods at infinity for a class of differential systems. We then solve the problem and investigate the bifurcations for a class of rational differential systems with a cubic polynomial as its numerator.We describe an approach to studying the center problem and local bifurcations of critical periods at infinity for a class of differential systems. We then solve the problem and investigate the bifurcations for a class of rational differential systems with a cubic polynomial as its numerator.

关 键 词：weak center ISOCHRONICITY bifurcation of critical periods 

分 类 号：O175[理学—数学] N93[理学—基础数学]