IEEE Trans Neural Netw Learn Syst. 2014 Dec;25(12):2288-94. doi: 10.1109/TNNLS.2014.2305722.
This brief presents an analytical study of synchronization in an array of coupled deterministic Boolean networks (BNs) with time delay. Two kinds of models are considered. In one model, the outputs contain time delay, while in another one, the outputs do not. One restriction in this brief is that the state delay and output delay are restricted to be equal. By referring to the algebraic representations of logical dynamics and using the techniques of semitensor product of matrices, some necessary and sufficient conditions are derived for the synchronization of delay-coupled BNs. Examples including a practical epigenetic example are given for illustration.
本简要介绍了具有时滞的耦合确定性布尔网络 (BN) 阵列中的同步的分析研究。考虑了两种模型。在一种模型中，输出包含时滞，而在另一种模型中，输出则不包含时滞。本简要中的一个限制条件是状态延迟和输出延迟都被限制为相等。通过参考逻辑动力学的代数表示，并使用矩阵的半张量积技术，推导出了时延耦合 BN 同步的充分必要条件。为了说明问题，给出了包括实际表观遗传实例在内的示例。
