耦合发电机系统的分岔和双参数特性  

Bifurcation and dual-parameter characteristic of the coupled dynamos system

作　　者：吴淑花[1,2] 孙毅[1] 郝建红[1] 许海波[3] 

机构地区：[1]华北电力大学电气与电子工程学院,北京102206 [2]石家庄学院物理与电气信息工程系,石家庄050035 [3]北京应用物理与计算数学研究所,北京100088

出　　处：《物理学报》2011年第1期84-92,共9页Acta Physica Sinica

基　　金：华北电力大学博士基金(批准号:kH0433);国际科技合作项目(批准号:2007DFA71250)资助的课题~~

摘　　要：在综合分析系统基本动力学特性的基础上,通过数值计算Lyapunov指数谱、分岔图等,讨论了耦合发电机系统的混沌分岔行为和周期窗口的性态变化;计算和分析了系统在二维参数空间的双参数特性.结果显示系统在倍周期分岔中会出现缺边现象,在双参数空间系统出现复杂的分岔结构,两个控制参数对系统动力学行为的影响特性有所差别.Based on the comprehensive analysis of the basic dynamic characters of the coupled dynamos system,we have calculated the Lyapunov exponent spectra,bifurcation diagrams and so on,and discussed the chaotic bifurcation and mutative characteristic thoroughly in the periodic windows of the system,and the dual-parameter characteristic is also analyzed. It is found that a boundary line is absent in period-doubling bifurcations and a complicated bifurcation structure appears in 2D parameter space,the influences of two control parameters to the dynamic behavior are different.

关 键 词：耦合发电机系统 分岔 周期窗口 双参数特性 

分 类 号：O415.5[理学—理论物理]