| 一类含参数激励和强迫激励的时滞反馈系统的分岔分析 |
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| 引用本文： | 张冬梅,李凤伟,徐涵.一类含参数激励和强迫激励的时滞反馈系统的分岔分析[J].徐州师范大学学报(自然科学版),2007,25(2):28-30. |
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| 作者姓名： | 张冬梅 李凤伟 徐涵 |
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| 作者单位： | 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 |
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| 基金项目： | 上海市教育委员E-研究院建设计划基金 |
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| 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.
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| 关 键 词： | 多尺度法 分岔 时滞动力系统 |
| 文章编号： | 1007-6573（2007）02-0028-03 |
| 修稿时间： | 2007-01-18 |
Bifurcation of Nonlinear Systems Involving Time Delays Under Combined Parametric and Forcing Excitation |
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| ZHANG Dong-mei,LI Feng-wei,XU Han.Bifurcation of Nonlinear Systems Involving Time Delays Under Combined Parametric and Forcing Excitation[J].Journal of Xuzhou Normal University(Natural Science Edition),2007,25(2):28-30. |
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| Authors: | ZHANG Dong-mei LI Feng-wei XU Han |
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| Institution: | 1. Department of Mathematics, Linyi Normal University, Linyi, Shandong, 276005, China; 2. Department of Mathematics and Information Science, Zaozhuang University, Zaozhuang, Shandong, 277160, China |
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| Abstract: | In this paper,the problems of bifurcation of nonlinear systems involving time delays under combined parametric and forcing excitation for 12 subharmonic resonance-primary parametric resonance are studied.By using the method of multiple scales,the bifurcation equation with time delays 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. |
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| Keywords: | method of multiple scales bifurcation dynamics of nonlinear systems involving time delays |
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