标题： 对称双极种群网络中的同步现象 显示英文标题

标题： Synchronization in symmetric bipolar population networks

摘要： 我们分析具有特定自然频率分布的Kuramoto振子种群。 受存在两个具有相反行为节点组的网络启发，例如在电力网络中，不同位置的能量要么被生成要么被消耗，我们假设频率只能取两个不同的值。 在规则和随机拓扑结构中考虑了给定节点的频率值与其拓扑定位之间的相关性。 当节点被相反频率的节点包围时，同步性得到增强。 我们找到了保证实现全局同步状态的振子之间耦合强度的最小值的解析估计，与数值模拟结果有非常好的一致性。 显示英文摘要

摘要： We analyze populations of Kuramoto oscillators with a particular distribution of natural frequencies. Inspired by networks where there are two groups of nodes with opposite behaviors, as for instance in power-grids where energy is either generated or consumed at different locations, we assume that the frequencies can take only two different values. Correlations between the value of the frequency of a given node and its topological localization are considered in both regular and random topologies. Synchronization is enhanced when nodes are surrounded by nodes of the opposite frequency. We find analytical estimations for the minimum value of the coupling strength between oscillators that guarantees the achievement of a globally synchronized state, getting a very good agreement with the numerical simulations.