一类含参数激励和强迫激励的时滞反馈系统的分岔分析  

Bifurcation of Nonlinear Systems Involving Time Delays Under Combined Parametric and Forcing Excitation

作　　者：张冬梅[1] 李凤伟[2] 徐涵[1] 

机构地区：[1]临沂师范学院数学系,山东临沂276005 [2]枣庄学院数学与信息科学系,山东枣庄277160

出　　处：《徐州师范大学学报（自然科学版）》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)

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.

关 键 词：多尺度法 分岔 时滞动力系统 

分 类 号：O175[理学—数学]