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Paths to synchronization on complex networks

已有 5212 次阅读 2010-1-2 22:27 |个人分类:文献阅读|系统分类:科研笔记| phase, networks, order, synchronization

PRL 98, 034101 (2007)
Abstract:The understanding of emergent collective phenomena in natural and social systems has driven the interest of scientists from different disciplines during decades. Among these phenomena, the synchronization of a set of interacting individuals or units has been intensively studied because of its ubiquity in the natural world. In this Letter, we show how for fixed coupling strengths local patterns of synchronization emerge differently in homogeneous and heterogeneous complex networks, driving the process towards a certain global synchronization degree following different paths. The dependence of the dynamics on the coupling strength and on the topology is unveiled. This study provides a new perspective and tools to understand this emerging phenomena.
这篇文献,我没有仔细地阅读,但也有粗略的观感如下:
1.Kuramoto 模型,研究了ER和SF两种拓扑结构的网络,在由完全非同步向完全同步转化过程中的差异。这种转化过程是发生时,网络拓扑结构是静态的,但耦合的强度是改变的。据了解,这个思路也不是第一次出现在这篇文章中。
2.利用KM模型的相对简单特性,给出了 关于全局和局域同步范围的量度r,rlink。这样的思路,如何体现在一个具体一些极限环模型中呢?即在其他模型中如何定义这两个量度?如果说KM就抽象可以代表所有极限环振子系统,那么对于相位不是那么方便定义的混沌振子系统,如Lronz系统,这种方法还如何办呢?
3.In the presence of hubs, a giant component of synchronized pairs of oscillators forms and grows by recruiting nodes linked to them.这说明了了hubs结点在同步过程中的作用。
4.我感兴趣的是给定一个耦合强度,如果在完全非同步的初始状态下,向可能的同步状态演化过程中hubs结点的作用是不是与本文所述的一样呢?

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