General framework for phase synchronization through localized sets
General framework for phase synchronization through localized sets
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DOI：
10.1103/physreve.75.026216
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发表时间：
2007-02-01
影响因子：
2.4
通讯作者：
Kurths, J.
中科院分区：
文献类型：
--
作者：
Pereira, T.;Baptista, M. S.;Kurths, J.
我们提出了一种方法，使一个识别耦合混沌振子的相位同步，而不必显式测量的相位。我们表明，如果一个定义一个典型的事件，在一个振荡器，然后观察另一个每当这个事件发生，这些意见会产生一个本地化的设置。我们的结果提供了一个通用的和简单的方法来识别PS，它也可以用于具有多个时间尺度的振荡器。我们说明我们的方法在化学耦合神经元网络。我们发现，在整个网络的相位同步开始之前，相位同步神经元簇可能会出现，产生一个合适的环境进行信息交换。此外，我们还讨论了耦合混沌振子的局域集与其所能交换的信息量之间的关系。
We present an approach which enables one to identify phase synchronization in coupled chaotic oscillators without having to explicitly measure the phase. We show that if one defines a typical event in one oscillator and then observes another one whenever this event occurs, these observations give rise to a localized set. Our result provides a general and easy way to identify PS, which can also be used to oscillators that possess multiple time scales. We illustrate our approach in networks of chemically coupled neurons. We show that clusters of phase synchronous neurons may emerge before the onset of phase synchronization in the whole network, producing a suitable environment for information exchanging. Furthermore, we show the relation between the localized sets and the amount of information that coupled chaotic oscillator can exchange.