论文标题
空间配置在集体过渡中的影响：被分类的重要性
The influence of spatial configuration in collective transitions: the importance of being sorted
论文作者
论文摘要
我们研究了空间构型对异质节点的最接近纽布和扩散耦合晶格中集体动力学的影响。网络包含来自两个人群的节点，它们的内在兴奋性不同。最初，这些种群在整个晶格中均匀，随机分布。然后，我们开发了一种迭代算法来扰动网络的排列，以使来自同一人群的节点越来越有可能相邻。我们发现，随着网络分类的增加，将网络从静止状态转换为同步和振荡活动所必需的全局输入强度或网络驱动器。此外，对于弱耦合，我们发现存在部分同步的制度（即两个人群活动中的2：1共振），这既取决于网络驱动器（有时是以非单调的方式）和网络分类。
We studied the effects of spatial configuration on collective dynamics in a nearest-neighbour and diffusively coupled lattice of heterogeneous nodes. The networks contained nodes from two populations, which differed in their intrinsic excitability. Initially, these populations were uniformly and randomly distributed throughout the lattice. We then developed an iterative algorithm for perturbing the arrangement of the network such that nodes from the same population were increasingly likely to be adjacent to one another. We found that the global input strength, or network drive, necessary to transition the network from a state of quiescence to a state of synchronised and oscillatory activity was decreased as network sortedness was increased. Moreover, for weak coupling, we found that regimes of partial synchronisation exist (i.e., 2:1 resonance in the activity of the two populations), which were dependent both on network drive (sometimes in a non-monotonic fashion) and network sortedness.
