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.
出处
《物理学报》
SCIE
EI
CAS
CSCD
北大核心
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~~
关键词
耦合发电机系统
分岔
周期窗口
双参数特性
coupled dynamos system
bifurcation
periodic window
dual-parameter characteristic