Periodic orbits on discrete dynamical systems

被引：14
|
作者：
Zhou, Z [1 ]
机构：
[1] Hunan Univ, Dept Math Appl, Changsha 410082, Hunan, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2003年 / 45卷 / 6-9期
关键词：
periodic orbits; discrete dynamical systems; neural networks;
D O I：
10.1016/S0898-1221(03)00075-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we discuss the discrete dynamical system Xn+1 = betax(n) - g(x(n)), n = 0, 1,..., arising as a discrete-time network of single neuron, where beta is the internal decay rate, g is a signal function. First, we consider the case where g is of McCulloch-Pitts nonlinearity. Periodic orbits are discussed according to different range of beta. Moreover, we can construct periodic orbits. Then, we consider the case where g is a sigmoid function. Sufficient conditions are obtained for (*) has periodic orbits of arbitrary periods and an example is also given to illustrate the theorem. (C) 2003 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码：1155 / 1161
页数：7
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