Chimera states and the interplay between initial conditions and non-local coupling

被引：10

作者：

Kalle, Peter ^{[1
]}

Sawicki, Jakub ^{[1
]}

Zakharova, Anna ^{[1
]}

Schoell, Eckehard ^{[1
]}

机构：

[1] Tech Univ Berlin, Inst Theoret Phys, Hardenbergstr 36, D-10623 Berlin, Germany

来源：

CHAOS | 2017年 / 27卷 / 03期

关键词：

COMPLEX NETWORKS; COHERENCE; PATTERNS; POPULATIONS; INCOHERENCE;

D O I：

10.1063/1.4977866

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Chimera states are complex spatio-temporal patterns that consist of coexisting domains of coherent and incoherent dynamics. We study chimera states in a network of non-locally coupled Stuart-Landau oscillators. We investigate the impact of initial conditions in combination with non-local coupling. Based on an analytical argument, we show how the coupling phase and the coupling strength are linked to the occurrence of chimera states, flipped profiles of the mean phase velocity, and the transition from a phase-to an amplitude-mediated chimera state. Published by AIP Publishing.

引用

页数：6

共 71 条

[41] Transition from spatial coherence to incoherence in coupled chaotic systems [J].

Omelchenko, Iryna ;

Riemenschneider, Bruno ;

Hoevel, Philipp ;

Maistrenko, Yuri ;

Schoell, Eckehard .

PHYSICAL REVIEW E, 2012, 85 (02)

[42] Loss of Coherence in Dynamical Networks: Spatial Chaos and Chimera States [J].

Omelchenko, Iryna ;

Maistrenko, Yuri ;

Hoevel, Philipp ;

Schoell, Eckehard .

PHYSICAL REVIEW LETTERS, 2011, 106 (23)

[43] Chimera states: coexistence of coherence and incoherence in networks of coupled oscillators [J].

Panaggio, Mark J. ;

Abrams, Daniel M. .

NONLINEARITY, 2015, 28 (03) :R67-R87

[44] Behavioral, neurophysiological and evolutionary perspectives on unihemispheric sleep [J].

Rattenborg, NC ;

Amlaner, CJ ;

Lima, SL .

NEUROSCIENCE AND BIOBEHAVIORAL REVIEWS, 2000, 24 (08) :817-842

[45] Evidence that birds sleep in mid-flight [J].

Rattenborg, Niels C. ;

Voirin, Bryson ;

Cruz, Sebastian M. ;

Tisdale, Ryan ;

Dell'Omo, Giacomo ;

Lipp, Hans-Peter ;

Wikelski, Martin ;

Vyssotski, Alexei L. .

NATURE COMMUNICATIONS, 2016, 7

[46] Synchronization of coupled Boolean phase oscillators [J].

Rosin, David P. ;

Rontani, Damien ;

Gauthier, Daniel J. .

PHYSICAL REVIEW E, 2014, 89 (04)

[47] Irregular macroscopic dynamics due to chimera states in small-world networks of pulse-coupled oscillators [J].

Rothkegel, A. ;

Lehnertz, K. .

NEW JOURNAL OF PHYSICS, 2014, 16

[48] Instability of synchronized motion in nonlocally coupled neural oscillators [J].

Sakaguchi, H .

PHYSICAL REVIEW E, 2006, 73 (03)

[49] Chimeras in globally coupled oscillatory systems: From ensembles of oscillators to spatially continuous media [J].

Schmidt, Lennart ;

Krischer, Katharina .

CHAOS, 2015, 25 (06)

[50] Clustering as a Prerequisite for Chimera States in Globally Coupled Systems [J].

Schmidt, Lennart ;

Krischer, Katharina .

PHYSICAL REVIEW LETTERS, 2015, 114 (03)

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