文献类型：会议论文

英文题名：Stability of Asynchronous Boolean Networks

作者：Li, Zhiqiang[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, Coll Math & Informat Sci, Zhengzhou 450046, Henan, 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, Coll Math & Informat Sci, Zhengzhou 450046, Henan, 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：International Conference on Advanced Mechatronic Systems (ICAMechS)

会议日期：AUG 10-12, 2014

会议地点：Kumamoto, JAPAN

语种：英文

外文关键词：Asynchronous logical system; Logical matrix; Cycles; Stability

摘要：In this paper, using semi-tensor product and the vector form of Boolean logical variables, the asynchronous Boolean networks under different update schemes are converted into probabilistic discrete time dynamic systems, and the structure matrix of discrete time dynamic systems is a probabilistic transaction. It provides a new way to study the properties of random Boolean networks. Under this framework, the stability of asynchronous Boolean network is discussed, and some sufficient conditions for the stability of cycles are obtained.