Aging and clustering in globally coupled oscillators.
Aging and clustering in globally coupled oscillators.
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DOI：
10.1103/physreve.75.056206
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发表时间：
2007-05
期刊：
影响因子：
--
通讯作者：
H. Daido;K. Nakanishi
中科院分区：
文献类型：
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作者：
H. Daido;K. Nakanishi
耦合非线性振子的种群可以以非自振元件的比例增加的方式老化。根据我们以前的文件[物理。93，104101（2004）]，我们主要针对全局耦合的Stuart-Landau振荡器研究了这种意义上的老化效应，重点是（K，p）相图的结构，其中K是耦合强度，p是不活跃振荡器的比率。除了以前报道的老化过渡，这样的图被示出的特征在于由一个喇叭状的区域，我们称之为“去极化喇叭”，有源振荡器去极化，形成一些集群，只要解耦的有源振荡器是足够的非等极化。我们还表明，在这样一个区域中的去极化可以被捕获为一种类型的扩散引起的不均匀性的基础上的“摆动的机制。“我们的研究结果表明，具有一些奇怪性质的去极化角可能是全球和扩散耦合周期振荡器老化系统中相当常见的特征。
A population of coupled nonlinear oscillators may age in such a way that the fraction of non-self-oscillatory elements increases. Following our previous paper [Phys. Rev. Lett. 93, 104101 (2004)], we study the effect of aging in this sense mainly for globally coupled Stuart-Landau oscillators with the emphasis on the structure of the (K,p) phase diagram, where K is the coupling strength and p is the ratio of inactive oscillators. In addition to the aging transition reported previously, such a diagram is shown to be characterized by a hornlike region, which we call a "desynchronization horn," where active oscillators desynchronize to form a number of clusters, provided that uncoupled active oscillators are sufficiently nonisochronous. We also show that desynchronization in such a region can be captured as a type of diffusion-induced inhomogeneity based on a "swing-by mechanism." Our results suggest that the desynchronization horn with some curious properties may be a fairly common feature in aging systems of globally and diffusively coupled periodic oscillators.