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兰州大学机构库  > 信息科学与工程学院  > 期刊论文
题名: Correlation Between Eigenvalue Spectra and Dynamics of Neural Networks
作者: Zhou, QG(周庆国); Jin, T; Zhao, H
收录类别: SCIE ; PubMed ; MEDLINE
出版日期: 2009-10
刊名: NEURAL COMPUTATION
卷号: 21, 期号:10, 页码:2931-2941
出版者: MIT PRESS
出版地: CAMBRIDGE
英文摘要: This letter presents a study of the correlation between the eigenvalue spectra of synaptic matrices and the dynamical properties of asymmetric neural networks with associative memories. For this type of neural network, it was found that there are essentially two different dynamical phases: the chaos phase, with almost all trajectories converging to a single chaotic attractor, and the memory phase, with almost all trajectories being attracted toward fixed-point attractors acting as memories. We found that if a neural network is designed in the chaos phase, the eigenvalue spectrum of its synaptic matrix behaves like that of a random matrix (i.e., all eigenvalues lie uniformly distributed within a circle in the complex plan), and if it is designed in the memory phase, the eigenvalue spectrum will split into two parts: one part corresponds to a random background, the other part equal in number to the memory attractors. The mechanism for these phenomena is discussed in this letter.
作者部门: [Jin, Tao ; Zhao, Hong] Xiamen Univ, Dept Phys, Xiamen 361005, Peoples R China ; [Zhou, Qingguo] Lanzhou Univ, Sch Informat Sci & Engineer, Lanzhou 730000, Peoples R China ; [Zhou, Qingguo] Minist Educ, Engn Res Ctr Open Source Software & Realtime Oper, Lanzhou 730000, Peoples R China
通讯作者: Jin, T (reprint author), Xiamen Univ, Dept Phys, Xiamen 361005, Peoples R China.
学科分类: Computer Science; Neurosciences & Neurology
文章类型: Article
所属项目编号: National Natural Science Foundation of China [10475067] ; Major State Research Development 973 Project of Nonlinear Science in China
所属项目名称: 国家自然科学基金项目 ; 国家重点基础研究发展计划以及国家重大科学研究计划(973计划)
项目资助者: NSFC ; MOST
语种: 英语
DOI: 10.1162/neco.2009.12-07-671
ISSN号: 0899-7667
WOS记录号: WOS:000269833200008
PM记录号: 19635013
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内容类型: 期刊论文
URI标识: http://ir.lzu.edu.cn/handle/262010/116134
Appears in Collections:信息科学与工程学院_期刊论文

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Recommended Citation:
Zhou, QG,Jin, T,Zhao, H. Correlation Between Eigenvalue Spectra and Dynamics of Neural Networks[J]. NEURAL COMPUTATION,2009,21(10):2931-2941.
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