Title :
Stability of asynchronous Boolean networks
Author :
Zhiqiang Li ; Huimin Xiao
Author_Institution :
Coll. of Math. & Inf. Sci., Henan Univ. of Econ. & Law, Zhengzhou, China
Abstract :
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.
Keywords :
Boolean functions; discrete time systems; tensors; Boolean logical variables; asynchronous Boolean networks; probabilistic discrete time dynamic systems; probabilistic transaction; random Boolean networks; semitensor product; stability; vector form; Biology; Equations; Mathematical model; Matrix converters; Presses; Stability analysis; Vectors; Asynchronous logical system; Cycles; Logical matrix; Stability;
Conference_Titel :
Advanced Mechatronic Systems (ICAMechS), 2014 International Conference on
Conference_Location :
Kumamoto
DOI :
10.1109/ICAMechS.2014.6911596
