摘要
对一类受参数激励和强迫激励联合作用下的时滞反馈系统,着重研究在12亚谐共振-主参数共振下的分岔响应控制.首先用多尺度法推导出该时滞动力系统的分岔响应方程,进而利用奇异性理论分析系统发生极限点分岔的条件.
In this paper, the problems of bifurcation of nonlinear systems involving time delays under combined parametric and forcing excitation for 1/2 subharmonic resonance-primary parametric resonance are studied. By using the method of multiple scales, the bifurcation equation with time de- lays is obtained, and the bifurcation equation is discussed by means of singularity theory. So the effect of time delays on the steady response can be found.
出处
《徐州师范大学学报（自然科学版）》
CAS
2007年第2期28-30,共3页
Journal of Xuzhou Normal University(Natural Science Edition)
基金
上海市教育委员E-研究院建设计划基金项目资助(E03004)
关键词
多尺度法
分岔
时滞动力系统
method of multiple scales
bifurcation
dynamics of nonlinear systems involving timedelays
