同时块对角化技术应用于随机网络的完全同步和簇同步的失败
Failure of the simultaneous block diagonalization technique applied to complete and cluster synchronization of random networks
摘要：
我们在这里讨论的应用程序的同时块对角化（SBD）的矩阵的研究的稳定性完全和集群同步随机（通用）网络。对于这两个问题，我们定义的指数，衡量成功（或失败）的应用程序的SBD技术在解耦的稳定性问题到低维的问题。然后我们看到，在随机网络的情况下，可实现的降维程度与应用平凡变换产生的降维程度相同。
英文摘要：
We discuss here the application of the simultaneous block diagonalization (SBD) of matrices to the study of the stability of both complete and cluster synchronization in random (generic) networks. For both problems, we define indices that measure success (or failure) of application of the SBD technique in decoupling the stability problem into problems of lower dimensionality. We then see that in the case of random networks the extent of the dimensionality reduction achievable is the same as that produced by application of a trivial transformation.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
