Bifurcation of a Class of Discrete-time Neural Networks

被引：0
作者：
Zhou, Xiaoliang [1 ,2 ]
Gao, Xueliang [2 ]
机构：
[1] Guangdong Ocean Univ, Dept Math, Zhanjiang 524088, Guangdong, Peoples R China
[2] Sichuan Univ, Dept Mat, Chengdu 610064, Peoples R China
来源：
2008 IEEE CONFERENCE ON CYBERNETICS AND INTELLIGENT SYSTEMS, VOLS 1 AND 2 | 2008年
关键词：
D O I：
暂无
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this paper, a class of discrete-time system modeling a network with two neurons is considered. Its flip bifurcations (also called period-doubling bifurcations for map) are demonstrated by deriving the equation describing the How on the center manifold. In particular, the explicit formula for determining the direction and the stability of flip bifurcations are obtained. The theoretical analysis is verified by numerical simulations.
引用
收藏
页码：44 / +
页数：3
相关论文
共 50 条
[21]   Global Stability of a General Class of Discrete-Time Recurrent Neural Networks [J].
Zhigang Zeng ;
De-Shuang Huang ;
Zengfu Wang .
Neural Processing Letters, 2005, 22 :33-47
[22]   STABILITY ANALYSIS AND SYNTHESIS ALGORITHM OF A CLASS OF DISCRETE-TIME NEURAL NETWORKS [J].
YEN, GG ;
MICHEL, AN .
MATHEMATICAL AND COMPUTER MODELLING, 1995, 21 (1-2) :1-29
[23]   Robust passivity analysis of a class of discrete-time stochastic neural networks [J].
Guodong Shi ;
Qian Ma ;
Yi Qu .
Neural Computing and Applications, 2013, 22 :1509-1517
[24]   Robust passivity analysis of a class of discrete-time stochastic neural networks [J].
Shi, Guodong ;
Ma, Qian ;
Qu, Yi .
NEURAL COMPUTING & APPLICATIONS, 2013, 22 (7-8) :1509-1517
[25]   Synchronization of a class of uncertain stochastic discrete-time delayed neural networks [J].
Zhong Chen ;
Bing Xiao ;
Jianming Lin .
Advances in Difference Equations, 2014
[26]   Stability and bifurcation analysis on a discrete-time neural network [J].
Yuan, ZH ;
Hu, DW ;
Huang, LH .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2005, 177 (01) :89-100
[27]   ON THE CONVERGENCE OF DISCRETE-TIME NEURAL NETWORKS [J].
HARRER, H ;
GALIAS, Z ;
NOSSEK, JA .
INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS, 1993, 21 (02) :191-195
[28]   Hybrid discrete-time neural networks [J].
Cao, Hongjun ;
Ibarz, Borja .
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2010, 368 (1930) :5071-5086
[29]   DISCRETE-TIME CELLULAR NEURAL NETWORKS [J].
HARRER, H ;
NOSSEK, JA .
INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS, 1992, 20 (05) :453-467
[30]   Robustness analysis of a class of discrete-time recurrent neural networks under perturbations [J].
Feng, ZS ;
Michel, AN .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1999, 46 (12) :1482-1486
12345