Hopf Bifurcation of Rayleigh Model with Delay

被引：0
|
作者：
Sun, Yan [1 ]
Ma, Wenlian [1 ]
机构：
[1] Changchun Univ Sci & Technol, Coll Sci, Changchun, JiLin, Peoples R China
来源：
INFORMATION COMPUTING AND APPLICATIONS, ICICA 2013, PT I | 2013年 / 391卷
关键词：
delay; Rayleigh model; Hopf bifurcation; stability;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Hopf bifurcation and stability of Rayleigh model with delay r as parameter have been studied. Analyzing the stability of zero solution, the branch value of Hopf bifurcation has been obtained. Secondly, using theories of normal form and center manifold acquire the calculation formula of the direction of the bifurcation and the stability of the periodic solution. Finally, some numerical simulations are carried out by using MATLAB software, and the results are consistent with analysis results.
引用
收藏
页码：593 / 602
页数：10
相关论文
共 50 条
  • [1] Hopf Bifurcation Analysis for the Modified Rayleigh Price Model with Time Delay
    Zhai, Yanhui
    Bai, Haiyun
    Xiong, Ying
    Ma, Xiaona
    ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [2] Hopf Bifurcation of an Epidemic Model with Delay
    Song, Li-Peng
    Ding, Xiao-Qiang
    Feng, Li-Ping
    Shi, Qiong
    PLOS ONE, 2016, 11 (06):
  • [3] Hopf Bifurcation Analysis of a Housefly Model with Time Delay
    Chang, Xiaoyuan
    Gao, Xu
    Zhang, Jimin
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2023, 33 (09):
  • [4] Hopf bifurcation of a tumor immune model with time delay
    Yang, Yanhong
    Fu, Shengmao
    FRONTIERS OF MATHEMATICS IN CHINA, 2022, 17 (02) : 315 - 335
  • [5] Stability and Hopf bifurcation analysis in a delay Swarms model
    Liu Feng
    Yin Xiang
    Ling Guang
    Guan Zhi-Hong
    Hua O, Wang
    2015 34TH CHINESE CONTROL CONFERENCE (CCC), 2015, : 1049 - 1053
  • [6] Stability and Hopf Bifurcation Analysis on a Bazykin Model with Delay
    Zhang, Jianming
    Zhang, Lijun
    Khalique, Chaudry Masood
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [7] Stability and Hopf bifurcation for an epidemic disease model with delay
    Sun, CJ
    Lin, YP
    Han, MA
    CHAOS SOLITONS & FRACTALS, 2006, 30 (01) : 204 - 216
  • [8] Hopf Bifurcation of a Nonresident Computer Virus Model with Delay
    Zizhen Zhang
    Yougang Wang
    Massimiliano Ferrara
    Analysis in Theory and Applications, 2018, 34 (03) : 199 - 208
  • [9] Hopf bifurcation analysis of a turbidostat model with discrete delay
    Yao, Yong
    Li, Zuxiong
    Liu, Zhijun
    APPLIED MATHEMATICS AND COMPUTATION, 2015, 262 : 267 - 281
  • [10] Hopf bifurcation solutions of a competition diffusion model with delay
    Tang, Y.
    Huazhong Ligong Daxue Xuebao/Journal Huazhong (Central China) University of Science and Technology, 2001, 29 (01): : 79 - 81
12345