Oscillation quenching mechanisms: Amplitude vs. oscillation death

被引:352
作者
Koseska, Aneta [1 ,2 ]
Volkov, Evgeny [3 ]
Kurths, Juergen [1 ,4 ]
机构
[1] Humboldt Univ, Inst Phys, D-10099 Berlin, Germany
[2] Max Planck Inst Mol Physiol, Dept Syst Cell Biol, D-44227 Dortmund, Germany
[3] PN Lebedev Phys Inst, Dept Theoret Phys, Moscow 117924, Russia
[4] Potsdam Inst Climate Impact Res, D-14412 Potsdam, Germany
来源
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS | 2013年 / 531卷 / 04期
基金
俄罗斯基础研究基金会; 巴西圣保罗研究基金会;
关键词
Coupled oscillators; Oscillation death; Amplitude death; MIXED-MODE OSCILLATIONS; DELAY-INDUCED DEATH; PHASE-LOCKING; RELAXATION-OSCILLATORS; CHEMICAL OSCILLATORS; BASAL GANGLIA; TOGGLE SWITCH; SYNCHRONIZATION; BIFURCATIONS; NETWORKS;
D O I
10.1016/j.physrep.2013.06.001
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Oscillation quenching constitutes a fundamental emergent phenomenon in systems of coupled nonlinear oscillators. Its importance for various natural and man-made systems, ranging from climate, lasers, chemistry and a wide range of biological oscillators can be projected from two main aspects: (i) suppression of oscillations as a regulator of certain pathological cases and (ii) a general control mechanism for technical systems. We distinguish two structurally distinct oscillation quenching types: oscillation (OD) and amplitude death (AD) phenomena. In this review we aim to set clear boundaries between these two very different oscillation quenching manifestations and demonstrate the importance for their correct identification from the aspect of theory as well as of applications. Moreover, we pay special attention to the physiological interpretation of OD and AD in a large class of biological systems, further underlying their different properties. Several open issues and challenges that await further resolving are also highlighted. (C) 2013 Elsevier B.V. All rights reserved.
引用
收藏
页码:173 / 199
页数:27
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