中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
首页 机构 成果 学者
  
  1. CAS IR Grid
  2. 数学与系统科学研究院
  3. 中国科学院数学与系统科学研究院
  4. 系统科学研究所
ALGEBRAIC APPROACH TO DYNAMICS OF MULTIVALUED NETWORKS

文献类型：期刊论文

作者Li, Zhiqiang; Cheng, Daizhan
刊名INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
出版日期2010-03-01
卷号20期号:3页码:561-582
关键词Logical network semi-tensor product attractor transient period controllability
ISSN号0218-1274
DOI10.1142/S0218127410025892
英文摘要Using semi-tensor product of matrices, a matrix expression for multivalued logic is proposed, where a logical variable is expressed as a vector, and a logical function is expressed as a multilinear mapping. Under this framework, the dynamics of a multivalued logical network is converted into a standard discrete-time linear system. Analyzing the network transition matrix, easily computable formulas are obtained to show ( a) the number of equilibriums; (b) the numbers of cycles of different lengths; ( c) transient period, the minimum time for all points to enter the set of attractors, respectively. A method to reconstruct the logical network from its network transition matrix is also presented. This approach can also be used to convert the dynamics of a multivalued control network into a discrete-time bilinear system. Then, the structure and the controllability of multivalued logical control networks are revealed.
资助项目National Natural Science Foundation (NNSF) of China[60674022] ; National Natural Science Foundation (NNSF) of China[60736022] ; National Natural Science Foundation (NNSF) of China[60821091]
WOS研究方向Mathematics ; Science & Technology - Other Topics
语种英语
WOS记录号WOS:000279238400001
出版者WORLD SCIENTIFIC PUBL CO PTE LTD
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/11100]  
专题系统科学研究所
通讯作者Li, Zhiqiang
作者单位Chinese Acad Sci, AMSS, Key Lab Syst & Control, Beijing 100190, Peoples R China
推荐引用方式
GB/T 7714		 Li, Zhiqiang,Cheng, Daizhan. ALGEBRAIC APPROACH TO DYNAMICS OF MULTIVALUED NETWORKS[J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS,2010,20(3):561-582.
APA Li, Zhiqiang,&Cheng, Daizhan.(2010).ALGEBRAIC APPROACH TO DYNAMICS OF MULTIVALUED NETWORKS.INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS,20(3),561-582.
MLA Li, Zhiqiang,et al."ALGEBRAIC APPROACH TO DYNAMICS OF MULTIVALUED NETWORKS".INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS 20.3(2010):561-582.

入库方式： OAI收割

来源：数学与系统科学研究院

浏览0
下载0
收藏0
其他版本

除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。