一类环面微分方程的全局结构分析  

The Global Structure of a Kind of Toroidal Differential Equations

作　　者：徐晨[1] 甘小冰[1] 周荣星[1] 

机构地区：[1]深圳大学,西安电子科技大学

出　　处：《工程数学学报》1995年第1期52-59,共8页Chinese Journal of Engineering Mathematics

摘　　要：本文讨论了从交叉耦合锁相环（ＣＣＰＬＬ）中提出的一类环面双参数微分方程的分歧现象，通过对系统的全局结构分析，证明该系统分歧属鞍─结点分歧，分歧曲线为β１＋β２＝１。本文结果对ＣＣＰＬＬ的设计具有指导意义。Abstract The bifurcation of the following Toroidal differential equations was studied in this paper,which werwe derived from the Cross-Coupled Phase-Locked Loop(CCPLL).By meas of the glonal structure analysis,the bifurcation Proved to be saddle-noded bifurcation,and that the bifurcation curves were governed by β1+β2=1.The resqult of this paper is of significance to the CCPLL design.

关 键 词：微分方程 分歧现象 全局结构分析 CCPLL 

分 类 号：O175.1[理学—数学]