抛物线边界二次系统单中心环域的Poincaré分支  

Poincaré bifurcation for quadratic systems with a bound of parabola and a single center

作　　者：王冲[1] 展丙军[1] 包树新[1] 

机构地区：[1]大庆师范学院数学系,黑龙江大庆163712

出　　处：《大庆师范学院学报》2008年第5期56-60,共5页Journal of Daqing Normal University

摘　　要：主要利用Picard-Fuchs方程和Riccati方程法,解决了一类以抛物线为边界的单中心环域可积非Hamilton系统在二次多项式扰动下的Poincaré分支问题,得出此系统的Poincaré分支最多可以扰动出三个极限环。The work of this thesis mainly focuses on the non -Hamilton integral system with quadratic perturbations . A class of Poincare＇ bifurcation systems with a bound of parabola and a single center is solved using Picard -Fuchs equation and Riccati equation, so we get this system at most exist 3 limit cycles with perturbation.

关 键 词：可积非HAMILTON系统 POINCARÉ分支 ABEL积分 Picard—Fuchs方程 

分 类 号：O175.12[理学—数学]