期刊
NEURAL NETWORKS
卷 23, 期 2, 页码 189-200出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.neunet.2009.11.010
关键词
Coexistence; Multiple equilibria; Multistability; Neural networks; Attraction basin
资金
- Graduate Innovation Foundation of Fudan University [EYH1411028]
- National Natural Sciences Foundation of China [60804044, 60774074, 60974015]
- Shanghai Pujiang Program [08PJ14019]
- SGST [09DZ2272900]
In this paper,we investigate the neural networks with a class of nondecreasing piecewise linear activation functions with 2r corner points. It is proposed that the n-neuron dynamical systems can have and only have (2r + 1)(n) equilibria under some conditions, of which (r + 1)(n) are locally exponentially stable and others are unstable. Furthermore, the attraction basins of these stationary equilibria are estimated. In the case of n = 2, the precise attraction basin of each stable equilibrium point can be figured out, and their boundaries are composed of the stable manifolds of unstable equilibrium points. Simulations are also provided to illustrate the effectiveness of our results. (C) 2009 Elsevier Ltd. All rights reserved.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据