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可兴奋系统中的极端事件及其产生机制。

Extreme events in excitable systems and mechanisms of their generation.

作者信息

Ansmann Gerrit, Karnatak Rajat, Lehnertz Klaus, Feudel Ulrike

机构信息

Department of Epileptology, University of Bonn, Sigmund-Freud-Straße 25, 53105 Bonn, Germany and Helmholtz Institute for Radiation and Nuclear Physics, University of Bonn, Nussallee 14-16, 53115 Bonn, Germany and Interdisciplinary Center for Complex Systems, University of Bonn, Brühler Straße 7, 53175 Bonn, Germany.

Theoretical Physics/Complex Systems, ICBM, Carl von Ossietzky University of Oldenburg, Carl-von-Ossietzky-Straße 9-11, Box 2503, 26111 Oldenburg, Germany.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2013 Nov;88(5):052911. doi: 10.1103/PhysRevE.88.052911. Epub 2013 Nov 18.

DOI:10.1103/PhysRevE.88.052911
PMID:24329335
Abstract

We study deterministic systems, composed of excitable units of FitzHugh-Nagumo type, that are capable of self-generating and self-terminating strong deviations from their regular dynamics without the influence of noise or parameter change. These deviations are rare, short-lasting, and recurrent and can therefore be regarded as extreme events. Employing a range of methods we analyze dynamical properties of the systems, identifying features in the systems' dynamics that may qualify as precursors to extreme events. We investigate these features and elucidate mechanisms that may be responsible for the generation of the extreme events.

摘要

我们研究由FitzHugh-Nagumo型可兴奋单元组成的确定性系统,该系统能够在没有噪声或参数变化影响的情况下,自行产生并自行终止与其常规动力学的强烈偏差。这些偏差罕见、持续时间短且反复出现,因此可被视为极端事件。我们采用一系列方法分析系统的动力学特性,识别系统动力学中可能作为极端事件先兆的特征。我们研究这些特征,并阐明可能导致极端事件产生的机制。

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