非线性延迟反馈对同步振荡器的影响。
Impact of nonlinear delayed feedback on synchronized oscillators.
作者信息
Popovych Oleksandr V, Hauptmann Christian, Tass Peter A
机构信息
Institute of Neurosciences and Biophysics 3 - Medicine, Research Center Jülich, 52425 Jülich, Germany.
出版信息
J Biol Phys. 2008 Aug;34(3-4):267-79. doi: 10.1007/s10867-008-9068-1. Epub 2008 May 14.
Abstract
We show that synchronization processes can effectively be controlled with nonlinear delayed feedback. We demonstrate that nonlinear delayed feedback can have a twofold impact on the collective dynamics of large ensembles of coupled oscillators: synchronizing and, mostly, desynchronizing effects. By means of a model equation for the mean field, we explore the existence and stability of the feedback-induced desynchronized states, their multistability and dynamical properties. We propose nonlinear delayed feedback stimulation for the therapy of neurological diseases characterized by abnormal synchrony.
摘要
我们表明，同步过程可以通过非线性延迟反馈有效地进行控制。我们证明，非线性延迟反馈对大量耦合振荡器集合的集体动力学可以产生双重影响：同步作用，以及主要的去同步作用。通过一个平均场的模型方程，我们探究了反馈诱导的去同步状态的存在性和稳定性、它们的多重稳定性以及动力学特性。我们提出将非线性延迟反馈刺激用于治疗以异常同步为特征的神经疾病。
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2
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3
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5
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8
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10
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