Attractors and Basins of Asynchronous Random Boolean Networks

摘要：

We present a method for studying the attractors and their basins of random Boolean networks under asynchronous stochastic update,based on the recently developed Matrix Semi-tensor Product theory.By the method,all attractors are de-termined by the network transition matrices.We devise procedures that are e ective in nding all attractors and their basins. Compared with existing results,our approach has the advantage of obtaining the exact basins of all attractors despite the di culty of possible overlapping of di erent basins in ARBNs.In addition,we also propose a procedure for computing the weight of an attractor and the basin entropy for ARBNs.The results show that the basin entropy of ARBNs increases with the system size only for critical networks.

作者: YANG Meng CHU Tianguang

会议类型: 国际会议

会议名称: The 30th Chinese Control Conference(第三十届中国控制会议)

会议地点: 烟台

会议语种:英文

页码: 1-6

在线出版日期: 2011-07-01（万方平台首次上网日期，不代表论文的发表时间）