中国科学院研究生院学报2011，Vol.28Issue(4)：431-447,17.
高阶布尔网络的结构
Structure of higher order Boolean networks*
摘要
Abstract
The higher order Boolean (control) network is introduced and its topological structure is studied.Using semi-tensor product of matrices,its dynamics is converted into two algebraic forms,which are standard discrete-time dynamic systems.The one-to-one correspondence of the network dynamics and its first algebraic form is proved,and certain topological structures,including fixed points,cycles,and transient time,of higher order Boolean (control) networks are revealed.The relationship between the original system and its second algebraic form is also studied.关键词
高阶布尔网络/代数形式/不动点/极限圈/暂态期Key words
higher order Boolean network/algebraic form/fixed point/cycle/transient period分类
数理科学引用本文复制引用
李志强,赵寅,程代展..高阶布尔网络的结构[J].中国科学院研究生院学报,2011,28(4):431-447,17.基金项目
Supported by National Natural Science Foundation of China(60674022,60736022,60821091) （60674022,60736022,60821091）
