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
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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.
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页码:44 / +
页数:3
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