Journal of Guangdong University of Technology ›› 2018, Vol. 35 ›› Issue (01): 46-49.doi: 10.12052/gdutxb.170098

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Dynamics of Euler Method for the First Order Delay Differential Equation

Zhuang Xiao-lan, Wang Qi   

  1. School of Applied Mathematics, Guangdong University of Technology, Guangzhou 510520, China
  • Received:2017-05-08 Online:2018-01-09 Published:2017-12-22

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Abstract: The dynamics of the first order delay differential equation is studied by applying an Euler method. It is showed that a sequence of Hopf bifurcations occur at the positive fixed point as the delay increases. Meanwhile, the stability of the fixed point is analyzed. At last, some numerical experiments are given to verify the correctness of the result.

Key words: Euler method, the first order delay differential equation, Hopf bifurcations, stability

CLC Number: 

  • O193
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