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A modified averaging scheme with application to the secondary Hopf bifurcation of a delayed van der Pol oscillator
  • ISSN号：0567-7718
  • 期刊名称：《力学学报：英文版》
  • 时间：0
  • 分类：TN752[电子电信—电路与系统]
  • 作者机构：[1]Institute of Sciences, PLA University of Science and Technology,Nanjing 211101, China, [2]Institute of Vibration Engineering Research,Nanjing University of Aeronautics and Astronautics,Nanjing 210016, China
  • 相关基金：The project supported by FANEDD of China （200430） and the National Natural Science Foundation of China （10372116, 10532050）.
作者： Z. H. Wang, H. Y. Hu
关键词： 振荡器, 时滞, 二级Hopf分岐, 均值方法, Time delay ·Secondary Hopf bifurcation·The averaging technique · van der Pol oscillator
中文摘要：

在这篇论文，一个修改平均计划与慢变量为推迟时间的颤动系统的一个类被介绍。新计划是黑尔并且由 Lehman 和 Weibel 分别地建议的平均技术的联合。从修改计划获得的平均方程足够简单，但是它在平衡附近为本地非线性的动力学保留要求的信息。作为现在的方法的应用，第二等的 Hopf 分叉为发生的延期价值成功地为一个推迟的货车 der Pol 振荡器被定位。

英文摘要：

In this paper, a modified averaging scheme is presented for a class of time-delayed vibration systems with slow variables. The new scheme is a combination of the averaging techniques proposed by Hale and by Lehman and Weibel, respectively. The averaged equation obtained from the modified scheme is simple enough but it retains the required information for the local nonlinear dynamics around an equilibrium. As an application of the present method, the delay value for which a secondary Hopf bifurcation occurs is successfully located for a delayed van der Pol oscillator.

同期刊论文项目
时滞非线性振动系统的Hopf分叉及分叉控制
期刊论文 13 会议论文 5
时滞系统的动力学与控制
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期刊信息
  • 《力学学报：英文版》
  • 中国科技核心期刊
  • 主管单位:中国科学技术协会
  • 主办单位:中国力学学会 中国科学院力学研究所
  • 主编：卢天健
  • 地址：北京市海淀区北四环西路15号
  • 邮编：100190
  • 邮箱：actams@cstam.org.cn
  • 电话：010-62536271
  • 国际标准刊号：ISSN：0567-7718
  • 国内统一刊号：ISSN：11-2063/O3
  • 邮发代号:2-703
  • 获奖情况:
  • 国内外数据库收录:
  • 被引量:352