Estimation of Synchronization Patterns of Chaotic Systems in the Cartesian Product Networks with Delay Couplings
Estimation of Synchronization Patterns of Chaotic Systems in the Cartesian Product Networks with Delay Couplings
复制标题
时滞耦合笛卡尔积网络混沌系统同步模式估计
DOI：
10.1142/s0218127416300287
复制
发表时间：
2016
影响因子：
2.2
通讯作者：
Toshiki Oguchi
中科院分区：
文献类型：
--
作者：
Kanaru Oooka;Toshiki Oguchi
研究了时滞耦合混沌系统网络的同步问题。首先，我们表明，同步模式可以估计的特征向量的图形拉普拉斯相关的同步条件的缩放方法。然后，我们考虑笛卡尔乘积网络中的同步。通过结合所提出的估计方法与笛卡尔积的性质，我们可以很容易地检测同步模式出现在笛卡尔积网络的原始网络的特征值。数值算例验证了该方法的有效性。
This paper considers synchronization problems in networks of chaotic systems with time-delayed couplings. First of all, we show that synchronization patterns can be estimated from eigenvectors of the graph Laplacian related to the scaling method for synchronization conditions. Then, we consider synchronization in Cartesian product networks. By combining the proposed estimation method with the properties of the Cartesian product, we can easily detect synchronization patterns emerging in the Cartesian product networks from the eigenvalues of the original networks. Some numerical examples are provided to demonstrate the validity of the proposed estimation method.