Hopf bifurcation of a two-neuron network with different discrete time delays

被引：17
作者：
Li, SW [1 ]
Liao, XF
Li, CG
Wong, KW
机构：
[1] Univ Elect Sci & Engn, Coll Elect Engn, Chengdu 610054, Peoples R China
[2] SW Univ Finance & Econ, Dept Math, Chengdu 610074, Peoples R China
[3] Chongqing Univ, Dept Comp Sci & Engn, Chongqing 400030, Peoples R China
[4] City Univ Hong Kong, Dept Comp Engn & Informat Technol, Kowloon, Hong Kong, Peoples R China
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2005年 / 15卷 / 05期
基金：
中国国家自然科学基金;
关键词：
neural networks; stability; Hopf bifurcation; time delays; graphical Hopf bifurcation theorem;
D O I：
10.1142/S0218127405012879
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, a two-neuron network with different time delays is investigated. By analyzing the associated characteristic equation, we obtain the conditions for delay-dependent and delay-independent asymptotic stability; respectively. Furthermore, we find that if the delay is used as a bifurcation parameter, Hopf bifurcation would occur. The direction and stability of the bifurcating periodic solutions are determined by using the Nyquist criterion and the graphical Hopf bifurcation theorem. Some examples are included to illustrate our results.
引用
收藏
页码：1589 / 1601
页数：13
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