二阶Kuramoto模型中湍流混合的影响
Effect of assortative mixing in the second-order Kuramoto model
摘要：
在本文中，我们分析了二阶仓本模型之间的连接的异质性和固有频率的无标度网络的正相关性。我们的数值计算表明，不连续的转变不仅出现在dispertative，但也在dispertative网络，与一阶模型。我们还发现，磁阻对网络同步的影响可以通过调整相位阻尼来补偿。我们的结果表明，它是可能的控制集体行为的阻尼仓本振子通过调整网络结构或通过调整耗散相运动。
英文摘要：
In this paper we analyze the second-order Kuramoto model presenting a positive correlation between the heterogeneity of the connections and the natural frequencies in scale-free networks. We numerically show that discontinuous transitions emerge not just in disassortative but also in assortative networks, in contrast with the first-order model. We also find that the effect of assortativity on network synchronization can be compensated by adjusting the phase damping. Our results show that it is possible to control collective behavior of damped Kuramoto oscillators by tuning the network structure or by adjusting the dissipation related to the phases movement.
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