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

作　　者：YANG Ji-hua LIU Mei 

机构地区：[1]Department of Mathematics and Computer Science, Ningxia Teacher's University, Guyuan 756000,China

出　　处：《Chinese Quarterly Journal of Mathematics》2012年第2期196-203,共8页数学季刊（英文版）

基　　金：Foundation item： Supported bY the Natural Science Foundation of Ningxia（NZ09204）; Supported by the Youth Foundation of Ningxia Teacher＇s Universlty（QN2010002）

摘　　要：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.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.

关 键 词：man-machine system STABILITY Hopf bifurcation Hopf-zero bifurcation 

分 类 号：O175.13[理学—数学]