Synchronization patterns and chimera states in complex networks: Interplay of topology and dynamics

We review chimera patterns, which consist of coexisting spatial domains of coherent (synchronized) and incoherent (desynchronized) dynamics in networks of identical oscillators. We focus on chimera states involving amplitude as well as phase dynamics, complex topologies like small-world or hierarchi...

Full description

Saved in:
Bibliographic Details
Published in:The European physical journal. ST, Special topics Special topics, 2016-09, Vol.225 (6-7), p.891-919
Main Author: Schöll, E.
Format: Article
Language:English
Subjects:
Amplitudes
Atomic
Broken symmetry
Classical and Continuum Physics
Condensed Matter Physics
Coupling
Fractals
Materials Science
Mathematical Modeling of Complex Systems
Measurement Science and Instrumentation
Molecular
Network topologies
Optical and Plasma Physics
Oscillators
Physics
Physics and Astronomy
Review
Rings (mathematics)
Robustness
Synchronism
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We review chimera patterns, which consist of coexisting spatial domains of coherent (synchronized) and incoherent (desynchronized) dynamics in networks of identical oscillators. We focus on chimera states involving amplitude as well as phase dynamics, complex topologies like small-world or hierarchical (fractal), noise, and delay. We show that a plethora of novel chimera patterns arise if one goes beyond the Kuramoto phase oscillator model. For the FitzHugh-Nagumo system, the Van der Pol oscillator, and the Stuart-Landau oscillator with symmetry-breaking coupling various multi-chimera patterns including amplitude chimeras and chimera death occur. To test the robustness of chimera patterns with respect to changes in the structure of the network, regular rings with coupling range R , small-world, and fractal topologies are studied. We also address the robustness of amplitude chimera states in the presence of noise. If delay is added, the lifetime of transient chimeras can be drastically increased.
ISSN:1951-6355
1951-6401
DOI:10.1140/epjst/e2016-02646-3