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  • 标题:Stability and bifurcation of numerical discretization Nicholson blowflies equation with delay
  • 本地全文:下载
  • 作者:Xiaohua Ding ; Wenxue Li
  • 期刊名称:Discrete Dynamics in Nature and Society
  • 印刷版ISSN:1026-0226
  • 电子版ISSN:1607-887X
  • 出版年度:2006
  • 卷号:2006
  • DOI:10.1155/DDNS/2006/19413
  • 出版社:Hindawi Publishing Corporation
  • 摘要:A kind of discrete system according to Nicholson's blowflies equation with a finite delay is obtained by the Euler forward method, and the dynamics of this discrete system are investigated. Applying the theory of normal form and center manifold, we not only discuss the linear stability of the equilibrium and the existence of the local Hopf bifurcations, but also give the explicit algorithm for determining the direction of bifurcation and stability of the periodic solution of bifurcation.
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