Stability and Hopf bifurcation in a delayed feedback control competitive websites model

被引：0

作者：

Cheng, Zunshui ^{[1
,2
,3
]}

Li, Dehao ^{[1
]}

机构：

[1] Qingdao Univ Sci & Technol, Sch Math & Phys, Qingdao 266061, Peoples R China

[2] Southeast Univ, Res Ctr Complex Syst & Network Sci, Beijing 210096, Peoples R China

[3] Southeast Univ, Dept Math, Beijing 210096, Peoples R China

来源：

2015 27TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC) | 2015年

关键词：

Stability; Hopf bifiircation; feedback control; competitive websites model;

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：

This paper studies a dynamic model of two websites competition model with feedback control. Stability of the equilibrium and local Hoff bifurcation in delayed two websites competition model with feedback control are both investiated. The results showed that when the time delay is increase, the equilibrium will lose its stability and a sequence of Hopf bifurcations will occur. Numerical example illustrates the obtained results.

引用

页码：2917 / 2922

页数：6

共 10 条

[1] Adamic L.A., 2000, Q J ELECT COMM, V1, P5
[2] Beiying He, 2013, Advanced Materials Research, V756-759, P877, DOI 10.4028/www.scientific.net/AMR.756-759.877
[3] Bifurcation control in small-world networks
Cheng, Zunshui
Cao, Jinde
[J]. NEUROCOMPUTING, 2009, 72 (7-9) : 1712 - 1718
[4] Hale J.K., 1977, THEORY FUNCTIONAL DI
[5] Hassard B.D., 1981, Theory and Applications of Hopf Bifurcation
[6] de Cabo RM, 2013, NONLIN DYNAM PSYCHOL, V17, P159
[7] Competitive dynamics of web sites
Maurer, SM
Huberman, BA
[J]. JOURNAL OF ECONOMIC DYNAMICS & CONTROL, 2003, 27 (11-12) : 2195 - 2206
[8] Ren Ya-wei, 2010, Journal of Dalian University of Technology, V50, P816
[9] Stability and Hopf bifurcation in a delayed competitive web sites model
Xiao, M
Cao, JD
[J]. PHYSICS LETTERS A, 2006, 353 (2-3) : 138 - 150
[10] Time-delayed feedback control of dynamical small-world networks at Hopf bifurcation
Xiao, Min
Ho, Daniel W. C.
Cao, Jinde
[J]. NONLINEAR DYNAMICS, 2009, 58 (1-2) : 319 - 344

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