Chinese Quarterly Journal of Mathematics ›› 2012, Vol. 27 ›› Issue (2): 196-203.

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Stability and Bifurcation Analysis of Man-machine System with Time Delay

  

  1. Department of Mathematics and Computer Science, Ningxia Teacher’s University

  • Received:2010-05-10 Online:2012-06-30 Published:2023-03-28
  • About author:YANG Ji-hua(1983-), male, native of Zhoukou, Henan, a lecturer of Ningxia Teacher’s University, M.S.D., engages in qualitative theory of ordinary differential equation.
  • Supported by:
    Supported by the Natural Science Foundation of Ningxia(NZ09204); Supported by the Youth Foundation of Ningxia Teacher’s University(QN2010002)

Abstract: A mathematical model of man-machine system is considered. Based on the reference [4], the direction and stability of the Hopf bifurcation are determined using the normal form method and the center manifold theory. Furthermore, the existence of Hopf-zero bifurcation is discussed. In the end, some numerical simulations are carried out to illustrate the results found.

Key words: man-machine system, stability, Hopf bifurcation, Hopf-zero bifurcation

CLC Number: