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

Previous Articles     Next Articles

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

HTML

PDF (PC)

2899

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
[1] Wu Yi, Mei Ke-qi, Ding Shi-hong, Ge Qun-hui, Wang Wei-zhi. An Extended State Observer Based Continuous Twisting Control for PMSM Speed Regulation [J]. Journal of Guangdong University of Technology, 2022, 39(05): 112-119.
[2] Liu Xue, Liu Zhong-ming, Xi Yue-bin, Wang Shou-juan, Kong Fan-gong. A Study of Preparation and Application Performance of Lignin-based Superhydrophobic Coatings [J]. Journal of Guangdong University of Technology, 2022, 39(01): 34-40,134.
[3] Tang Hao-yi, Peng Hong-yun. Global Weak Solutions and Asymptotics of a 3D Chemotaxis System [J]. Journal of Guangdong University of Technology, 2022, 39(01): 93-98.
[4] Zhou Min-hua, Zhang Wen-jin, Pan Chun-yang. Preparation and Properties of CsPbBr3 Quantum Dots Doped with Gallium Ions [J]. Journal of Guangdong University of Technology, 2021, 38(02): 83-87.
[5] Huang Hui-min, Guo Cheng-jun. Stability of Solutions for a Class of Impulsive Stochastic Differential Equations [J]. Journal of Guangdong University of Technology, 2020, 37(06): 56-62.
[6] Liang Shi-hua, Chen Jun-tao, Lin Huan-sheng, Feng De-luan, Gong Xing, Luo Qing-zi. An Experimental Study of Using Cement Stabilized Silt as Filling Material [J]. Journal of Guangdong University of Technology, 2020, 37(02): 102-106.
[7] Liu Chen-lin, Zheng San-qiang, Han Xiao-zhuo. A Spatio-temporal Dynamic Analysis of a Predation-competition System with Allee Effect [J]. Journal of Guangdong University of Technology, 2019, 36(06): 38-44.
[8] Zhang Hui-qin, Wang Zhi-bo. Finite Difference Schemes for Time Fractional Diffusion Equations with Periodic Boundary Conditions [J]. Journal of Guangdong University of Technology, 2019, 36(03): 74-79.
[9] Wang Xiang, Liu Li-fan, Wang Zhi-hong, Qi Wen-guang. Quality Stability in Long-distance Water Conveyance after Sudden Pollution of Quality Surface Water [J]. Journal of Guangdong University of Technology, 2019, 36(03): 99-102,110.
[10] Liu Ming-wei, Yu Zhi-tao, He Shao-hua. A Stability Analysis of Steel Tube Concrete Arch Bridge Based on Unified Theory [J]. Journal of Guangdong University of Technology, 2018, 35(06): 63-68.
[11] Liu Ya-dong, Yang Xue-qiang, Xu Lei, Lin Yao-kang, Gong Xing. A Stability Analysis of Slope Considering Strength Anisotropy in Soils [J]. Journal of Guangdong University of Technology, 2018, 35(06): 57-62.
[12] Zhang Zhi-zhong, Peng Shi-guo. Input-to-state Stability for Stochastic Neural Networks with Time-Varying Delay [J]. Journal of Guangdong University of Technology, 2017, 34(04): 84-88.
[13] ZHAO Teng-Qi, ZHU Yan-Juan, LI Wen-Hua, JIAN Xiu-Wen, LUO Jie, ZHANG Wei, ZHANG Chun-Hua. Study on the Relationship between the Crystalline Phose, Strucrture Stability of Droped Nickel Hydroxide and Na2CO3 [J]. Journal of Guangdong University of Technology, 2016, 33(04): 56-61.
[14] HUANG Ming-Hui. Asymptotic Stability of Nonlinear Differential Equation with Time Delays [J]. Journal of Guangdong University of Technology, 2016, 33(01): 62-66.
[15] WU Long-Liang, HUANG Song, JING Jing, FAN Lu-Fei. Dynamic Stability Analysis of the Tailings Dam under Special Working Condition [J]. Journal of Guangdong University of Technology, 2015, 32(2): 28-31.
Viewed
Full text


Abstract

Cited
  Shared   
  Discussed   
No Suggested Reading articles found!
Copyright © 2017 Journal of Guangdong University of Technology
Add：729 East Dongfeng RD., Guangzhou PRC. Postcode: 510090
Tel：020-37626653,020-37626139,020-37626396
Email：xbzrb@gdut.edu.cn
Supported:Beijing Magtech