文献类型：会议论文

中文题名：On the Cycles of Boolean Networks

作者：Zhiqiang Li[1];Jinli Song[1];Huimin Xiao[1];

第一作者：李志强

机构：[1]Department of Mathematics and Information Science, Henan University of Economics and Law, Zhengzhou 450002;

第一机构：河南财经政法大学数学与信息科学学院

会议论文集：The 24th Chinese Control and Decision Conference (第24届中国控制与决策学术年会 2012 CCDC)论文集

会议日期：20120523

会议地点：太原

主办单位：中国航空学会;中国自动化学会;中国人工智能学会;中国系统仿真学会

语种：英文

中文关键词：Boolean network;Cycles;Structure matrix;Boolean matrix;1-eigenvector

摘要：Using semi-tensor product, the Boolean network is converted into its algebraic form as a standard discrete-time linear system. From the rank and 1-eigenvector of structure matrix, we obtain the cycle structure of the Boolean network, such as the cycles and the number of the cycles with different length. In this paper, we just use the rank and 1-eigenvector of structure matrix to obtain the results, while in literature the different powers of structure matrix are used.