Ivanchenko Mikhail V, Osipov Grigory V, Shalfeev Vladimir D, Kurths Jürgen
Department of Radiophysics, Nizhny Novgorod University, 23, Gagarin Avenue, 603600 Nizhny Novgorod, Russia.
Phys Rev Lett. 2004 Sep 24;93(13):134101. doi: 10.1103/PhysRevLett.93.134101. Epub 2004 Sep 20.
We study the effects of mutual and external chaotic phase synchronization in ensembles of bursting oscillators. These oscillators (used for modeling neuronal dynamics) are essentially multiple time scale systems. We show that a transition to mutual phase synchronization takes place on the bursting time scale of globally coupled oscillators, while on the spiking time scale, they behave asynchronously. We also demonstrate the effect of the onset of external chaotic phase synchronization of the bursting behavior in the studied ensemble by a periodic driving applied to one arbitrarily taken neuron. We also propose an explanation of the mechanism behind this effect. We infer that the demonstrated phenomenon can be used efficiently for controlling bursting activity in neural ensembles.
我们研究了爆发性振荡器集合中相互和外部混沌相位同步的影响。这些振荡器（用于模拟神经元动力学）本质上是多时间尺度系统。我们表明，在全局耦合振荡器的爆发时间尺度上会发生向相互相位同步的转变，而在尖峰时间尺度上，它们表现为异步。我们还通过对任意选取的一个神经元施加周期性驱动，展示了所研究集合中爆发行为的外部混沌相位同步起始的影响。我们还对这种效应背后的机制提出了解释。我们推断，所展示的现象可有效地用于控制神经集合中的爆发活动。
