异步时滞布尔网络的内同步

Inner synchronization of Asynchronous Time-delayed Boolean Networks

提出异步时滞布尔网络的内同步模型,通过利用矩阵半张量积理论,研究异步时滞影响下的布尔网络内同步问题,分析时滞对布尔网络内同步的影响,给出了异步时滞布尔网络内同步实现的充分必要条件.通过数值仿真实例进一步验证了该模型的可行性以及所得结果的正确性.

In this paper,an inner synchronization model for asynchronous time-delay Boolean networks is proposed,and the inner synchronization problem of Boolean networks under the influence of asynchronous time-delay is investigated by using the matrix semi-tensor product theory,and the effect of time-delay on the inner synchronization of Boolean networks is analysed,and the sufficient and necessary conditions for the implementation of the inner synchronization of asynchronous time-delay Boolean networks are given.Moreover,the feasibility of the model and the correctness of the obtained results are further verified by numerical simulation examples.