Journal of Jilin University Science Edition ›› 2018, Vol. 56 ›› Issue (6): 1337-1344.

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Stability and Hopf Bifurcation Analysis of DelayedOscillator with DelayDependent Parameters#br#

LUO Jiawei1, XU Xu2   

  1. 1. School of Mathematics, Liaoning University, Shenyang 110036, China;2. College of Mathematics, Jilin University, Changchun 130012, China
  • Received:2018-05-15 Online:2018-11-26 Published:2018-11-23

Abstract: Firstly, the method of characteristic root was used to  analyze the  stability  of delayed oscillator with delaydependent parameters, and  a criterion for stability switches was given. Secondly, the  stability and periodicity of bifurcating periodic solutions were analyzed by using the center manifold and  the normal form theory.

Key words: inertial term, delay, stability switch, Hopf bifurcation

CLC Number: 

  • O175.1