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  • 标题:Bifurcations for a Single Mode Laser Model with Time Delay in Frequency Domain Methods
  • 本地全文:下载
  • 作者:Xu, Changjin ; Li, Peiluan
  • 期刊名称:Journal of Computers
  • 印刷版ISSN:1796-203X
  • 出版年度:2012
  • 卷号:7
  • 期号:8
  • 页码:1825-1830
  • DOI:10.4304/jcp.7.8.1825-1830
  • 语种:English
  • 出版社:Academy Publisher
  • 摘要:In this paper, the dynamic behavior of a single mode laser model with delay is investigated via frequency domain approach. By choosing the delay τ as a bifurcation parameter, we show that Hopf bifurcation can occur when τ passes a sequence of critical values. This means that a family of periodic solutions bifurcate from the equilibrium when the bifurcation parameter exceeds a critical value. Some numerical simulation results are consistent with the theoretical ones. The approach used in this paper is an excellent supplement of previous known ones of Hopf bifurcation analysis.
  • 关键词:single mode laser model;Hopf bifurcation;stability;frequency domain approach;Nyquist criterion
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