The problem of oscillation mode recognition is one of the most important issues under investigation in the field of biological systems. In this paper, we have systematically investigated the optimal oscillation mode (OOM) identification in excitable small-world networks (ESWNs). It has been shown that rewiring probability, coupling strength and system size are the three determinants that can effectively determine the OOM in ESWN. The critical width is introduced to precisely identify the OOM, which is found to be dependent on the system size and independent of the coupling strength. It is revealed that the OOM will shift from the long-wave mode to the short-wave mode as the rewiring probability increases. On the contrary, it will drift toward the longer wave mode in two different manners with the increase of coupling strength and system size. Importantly, the mechanism of OOM selection in ESWN is also discussed. We hope our results will give people a deeper understanding of the ...

中文翻译：

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励磁小世界网络中的最优振荡模式

振荡模式识别问题是生物系统领域中正在研究的最重要的问题之一。在本文中，我们系统地研究了可激发的小世界网络（ESWN）中的最佳振荡模式（OOM）识别。已经表明，重新布线的可能性，耦合强度和系统大小是可以有效确定ESWN中OOM的三个决定因素。引入临界宽度以精确识别OOM，发现该OOM取决于系统尺寸和耦合强度。揭示了随着重新布线概率的增加，OOM将从长波模式转变为短波模式。相反，随着耦合强度和系统尺寸的增加，它将以两种不同的方式向长波模式漂移。重要的是，还讨论了ESWN中OOM选择的机制。我们希望我们的结果将使人们对...有更深入的了解。