Extreme events in excitable systems and mechanisms of their generation

被引：95

作者：

Ansmann, Gerrit ^{[1
,2
,3
]}

Karnatak, Rajat ^{[4
]}

Lehnertz, Klaus ^{[1
,2
,3
]}

Feudel, Ulrike ^{[4
,5
,6
]}

机构：

[1] Univ Bonn, Dept Epileptol, D-53105 Bonn, Germany

[2] Univ Bonn, Helmholtz Inst Radiat & Nucl Phys, D-53115 Bonn, Germany

[3] Univ Bonn, Interdisciplinary Ctr Complex Syst, D-53175 Bonn, Germany

[4] Carl von Ossietzky Univ Oldenburg, ICBM, D-26111 Oldenburg, Germany

[5] Carl von Ossietzky Univ Oldenburg, Res Ctr Neurosensory Sci, D-26111 Oldenburg, Germany

[6] Univ Maryland, Inst Phys Sci & Technol, College Pk, MD 20742 USA

来源：

PHYSICAL REVIEW E | 2013年 / 88卷 / 05期

关键词：

PHASE SYNCHRONIZATION; PATTERN-FORMATION; MEDIA; CONNECTIVITY; OSCILLATIONS; NETWORKS; MODELS; WAVES;

D O I：

10.1103/PhysRevE.88.052911

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

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.

引用

页数：10

共 71 条

[1] Noisy FitzHugh-Nagumo model:: From single elements to globally coupled networks -: art. no. 026202 [J].

Acebrón, JA ;

Bulsara, AR ;

Rappel, WJ .

PHYSICAL REVIEW E, 2004, 69 (02) :026202-1

[2]

Albeverio S, 2006, Extreme events in nature and society

[3] Recurrence time analysis, long-term correlations, and extreme events [J].

Altmann, EG ;

Kantz, H .

PHYSICAL REVIEW E, 2005, 71 (05)

[4] Progress in Understanding Harmful Algal Blooms: Paradigm Shifts and New Technologies for Research, Monitoring, and Management [J].

Anderson, Donald M. ;

Cembella, Allan D. ;

Hallegraeff, Gustaaf M. .

ANNUAL REVIEW OF MARINE SCIENCE, VOL 4, 2012, 4 :143-176

[5]

[Anonymous], UNPUB

[6]

[Anonymous], 2010, Dynamical Systems in Neuroscience: The Geometry of Excitability and Bursting

[7]

[Anonymous], 2003, CRITICAL PHENOMENA N

[8]

Benettin Giancarlo, 1980, Meccanica, V15, P9, DOI DOI 10.1007/BF02128236

[9] Chaos and phase synchronization in ecological systems [J].

Blasius, B ;

Stone, L .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2000, 10 (10) :2361-2380

[10] From patterns to predictions [J].

Boettiger, Carl ;

Hastings, Alan .

NATURE, 2013, 493 (7431) :157-158

← 1 2 3 4 5 6 7 8 →