Institute for Research in Electronics and Applied Physics, University of Maryland, College Park, Maryland 20742, USA.
Department of Physics, University of Maryland, College Park, Maryland 20742, USA.
Phys Rev Lett. 2019 Feb 8;122(5):058301. doi: 10.1103/PhysRevLett.122.058301.
Symmetries are ubiquitous in network systems and have profound impacts on the observable dynamics. At the most fundamental level, many synchronization patterns are induced by underlying network symmetry, and a high degree of symmetry is believed to enhance the stability of identical synchronization. Yet, here we show that the synchronizability of almost any symmetry cluster in a network of identical nodes can be enhanced precisely by breaking its structural symmetry. This counterintuitive effect holds for generic node dynamics and arbitrary network structure and is, moreover, robust against noise and imperfections typical of real systems, which we demonstrate by implementing a state-of-the-art optoelectronic experiment. These results lead to new possibilities for the topological control of synchronization patterns, which we substantiate by presenting an algorithm that optimizes the structure of individual clusters under various constraints.
对称性在网络系统中无处不在，对可观察的动力学有深远的影响。在最基本的层面上，许多同步模式是由基础网络对称性引起的，并且高度的对称性被认为增强了相同同步的稳定性。然而，在这里我们表明，通过打破其结构对称性，几乎任何对称簇在相同节点的网络中的可同步性都可以被精确地增强。这种违反直觉的效应适用于通用节点动力学和任意网络结构，而且对于我们通过实施最先进的光电实验来证明的典型真实系统中的噪声和不完美性具有鲁棒性。这些结果为同步模式的拓扑控制带来了新的可能性，我们通过提出一种在各种约束下优化单个集群结构的算法来证明这一点。
