论文标题

如何通过增强的同步发展振荡器网络

How to grow an oscillator network with enhanced synchronization

论文作者

Park, Jong-Min, Lee, Daekyung, Kim, Heetae

论文摘要

我们研究一种在不断增长的网络中设置新添加的振荡器的固有频率以增强同步的方法。人口增长是许多振荡器系统的典型特征之一,需要同步才能正确执行其功能。尽管有这种意义,但对增长系统中的同步知之甚少。我们建议有效的生长方案,以增强网络在预定规则下增长的同步。具体而言,我们发现基于链接顺序参数的方法优于基于常规全局顺序参数的方法。通过简单的可解决示例,我们验证结果是否与直观的期望相吻合。数值结果表明,与其他幼稚策略相比,所建议方法的近似最佳值显示出更大的同步增强。结果还表明,我们提出的方法在广泛的耦合强度上优于其他方法。

We study a way to set the natural frequency of a newly added oscillator in a growing network to enhance synchronization. Population growth is one of the typical features of many oscillator systems for which synchronization is required to perform their functions properly. Despite this significance, little has been known about synchronization in growing systems. We suggest effective growing schemes to enhance synchronization as the network grows under a predetermined rule. Specifically, we find that a method based on a link-wise order parameter outperforms that based on the conventional global order parameter. With simple solvable examples, we verify that the results coincide with intuitive expectations. The numerical results demonstrate that the approximate optimal values from the suggested method show a larger synchronization enhancement in comparison to other naive strategies. The results also show that our proposed approach outperforms others over a wide range of coupling strengths.

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