Frequency Domain Analysis for Hopf Bifurcation in a Delayed Competitive Web-site Model

نویسندگان

  • Changjin Xu
  • Yusen Wu
چکیده

In this paper, applying frequency domain approach, a delayed competitive web-site system is investigated. By choosing the parameter α as a bifurcation parameter, it is found that Hopf bifurcation occurs as the bifurcation parameter α passes a critical values. That is, a family of periodic solutions bifurcate from the equilibrium when the bifurcation parameter exceeds a critical value. Some numerical simulations are included to justify the theoretical analysis results. Finally, main conclusions are given. Keywords—Web-site system, stability, Nyquist criterion, Hopf bifurcation, frequency domain.

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تاریخ انتشار 2016