论文标题
内部和集群间耦合平衡对非线性网络系统性能的影响
Impact of intra and inter-cluster coupling balance on the performance of nonlinear networked systems
论文作者
论文摘要
近年来，已经对复杂系统中簇同步（CS）的动力学和结构方面进行了深入研究。在这里，我们研究具有内部和集群间耦合的动力系统的C。我们提出了描述此类系统性能的新指标，并将它们评估为群集内外耦合的强度的函数。我们获得的分析结果表明，与内部偶联和偶联之间的分区相关的拉普拉斯矩阵之间的光谱差异直接影响了系统性能的指标。我们的结果表明，系统的动力可能会表现出最佳的平衡，从而优化其性能。我们的工作为特定对称属性与集体行为相关的方式提供了新的见解，并可能导致新形式以增加复杂系统的可控性并优化其稳定性。
The dynamical and structural aspects of cluster synchronization (CS) in complex systems have been intensively investigated in recent years. Here, we study CS of dynamical systems with intra and inter-cluster couplings. We propose new metrics that describe the performance of such systems and evaluate them as a function of the strength of the couplings within and between clusters. We obtain analytical results that indicate that spectral differences between the Laplacian matrices associated with the partition between intra and inter-couplings directly affect the proposed metrics of system performance. Our results show that the dynamics of the system might exhibit an optimal balance that optimizes its performance. Our work provides new insights into the way specific symmetry properties relate to collective behavior, and could lead to new forms to increase the controllability of complex systems and to optimize their stability.
