论文标题
回复评论“应用于完整和聚类的随机网络同步的同时块对角线化技术的失败”
Reply to comment on "Failure of the simultaneous block diagonalization technique applied to complete and cluster synchronization of random networks"
论文作者
论文摘要
我们对最近在线发布的评论[1，arxiv：2110.15493]进行了简短回应[2，arxiv：2108.07893]。随机网络的完整和群集同步无疑是物理，工程和非线性动力学文献中感兴趣的话题。在[3]中，我们研究了网络的完整和聚类同步，并引入指标，以衡量SBD技术在将稳定性问题分解为较低维度问题中的SBD技术的成功（或失败）。我们对“失败”一词的用法表明，该技术不会产生分解，从而导致系统易于分析的系统，而不是该技术无法正确解耦这些问题。
We respond briefly to a comment [1, arXiv:2110.15493] recently posted online on our paper [2, arXiv:2108.07893]. Complete and cluster synchronization of random networks is undoubtedly a topic of interest in the Physics, Engineering, and Nonlinear Dynamics literature. In [3] we study both complete and cluster synchronization of networks and introduce indices that measure success (or failure) of application of the SBD technique in decoupling the stability problem into problems of lower dimensionality. Our usage of the word `failure' indicates that the technique does not produce a decomposition which results in a system which is easier to analyze, not that the technique fails in correctly decoupling these problems.
