文献类型：会议论文

英文题名：On the Cycles of Boolean Networks

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

第一作者：李志强

通讯作者：Li, ZQ[1]

机构：[1]Henan Univ Econ & Law, Dept Math & Informat Sci, Zhengzhou 450002, Peoples R China

第一机构：河南财经政法大学数学与信息科学学院

通讯机构：[1]corresponding author), Henan Univ Econ & Law, Dept Math & Informat Sci, Zhengzhou 450002, Peoples R China.|[1048425]河南财经政法大学数学与信息科学学院;[10484]河南财经政法大学;

会议论文集：24th Chinese Control and Decision Conference (CCDC)

会议日期：MAY 23-25, 2012

会议地点：Taiyuan, PEOPLES R CHINA

语种：英文

外文关键词：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.