复杂动力网络的不连通同步区域
Disconnected synchronized regions of complex dynamical networks
摘要：
本文研究了复杂动态网络的同步域问题，将其归结为一个矩阵稳定性问题。对任意自然数$n$，从理论上证明了存在一个具有$n$不连通同步区域的网络.这显示了网络同步的复杂性。进一步讨论了矩阵束稳定性的凸性特征。最后以光滑和广义光滑蔡氏电路网络为例进行了讨论。
英文摘要：
This paper addresses the synchronized region problem, which is reduced to a matrix stability problem, for complex dynamical networks. For any natural number $n$, the existence of a network which has $n$ disconnected synchronized regions is theoretically demonstrated. This shows the complexity in network synchronization. Convexity characteristic of stability for matrix pencils is further discussed. Smooth and generalized smooth Chua's circuit networks are finally discussed as examples for illustration.
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。
