Controlling chimera patterns in networks: Interplay of structure, noise, and delay

Anna Zakharova*, Sarah A.M. Loos, Julien Siebert, Aleksandar Gjurchinovski, Jens Christian Claussen, Eckehard Schöll

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

We investigate partially coherent and partially incoherent patterns (chimera states) in networks of Stuart-Landau oscillators with symmetry-breaking coupling. In particular,we study two types of chimera states, amplitude chimeras and chimera death, under the influence of time delay and noise. We find that amplitude chimeras are long-living transients, whose lifetime can be controlled by varying the noise intensity and the value of time delay.

Original languageEnglish
Title of host publicationControl of Self-Organizing Nonlinear Systems. Understanding Complex Systems
EditorsE. Schöll, S. Klapp, P. Hövel
PublisherSpringer
Pages3-23
Number of pages21
ISBN (Electronic)978-3-319-28028-8
ISBN (Print)978-3-319-28027-1
DOIs
Publication statusPublished - 23 Jan 2016

Publication series

NameUnderstanding Complex Systems
Volume0
ISSN (Print)1860-0832
ISSN (Electronic)1860-0840

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Zakharova, A., Loos, S. A. M., Siebert, J., Gjurchinovski, A., Claussen, J. C., & Schöll, E. (2016). Controlling chimera patterns in networks: Interplay of structure, noise, and delay. In E. Schöll, S. Klapp, & P. Hövel (Eds.), Control of Self-Organizing Nonlinear Systems. Understanding Complex Systems (pp. 3-23). (Understanding Complex Systems; Vol. 0). Springer. https://doi.org/10.1007/978-3-319-28028-8_1
Zakharova, Anna ; Loos, Sarah A.M. ; Siebert, Julien ; Gjurchinovski, Aleksandar ; Claussen, Jens Christian ; Schöll, Eckehard. / Controlling chimera patterns in networks : Interplay of structure, noise, and delay. Control of Self-Organizing Nonlinear Systems. Understanding Complex Systems. editor / E. Schöll ; S. Klapp ; P. Hövel. Springer, 2016. pp. 3-23 (Understanding Complex Systems).
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abstract = "We investigate partially coherent and partially incoherent patterns (chimera states) in networks of Stuart-Landau oscillators with symmetry-breaking coupling. In particular,we study two types of chimera states, amplitude chimeras and chimera death, under the influence of time delay and noise. We find that amplitude chimeras are long-living transients, whose lifetime can be controlled by varying the noise intensity and the value of time delay.",
author = "Anna Zakharova and Loos, {Sarah A.M.} and Julien Siebert and Aleksandar Gjurchinovski and Claussen, {Jens Christian} and Eckehard Sch{\"o}ll",
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Zakharova, A, Loos, SAM, Siebert, J, Gjurchinovski, A, Claussen, JC & Schöll, E 2016, Controlling chimera patterns in networks: Interplay of structure, noise, and delay. in E Schöll, S Klapp & P Hövel (eds), Control of Self-Organizing Nonlinear Systems. Understanding Complex Systems. Understanding Complex Systems, vol. 0, Springer, pp. 3-23. https://doi.org/10.1007/978-3-319-28028-8_1

Controlling chimera patterns in networks : Interplay of structure, noise, and delay. / Zakharova, Anna; Loos, Sarah A.M.; Siebert, Julien; Gjurchinovski, Aleksandar; Claussen, Jens Christian; Schöll, Eckehard.

Control of Self-Organizing Nonlinear Systems. Understanding Complex Systems. ed. / E. Schöll; S. Klapp; P. Hövel. Springer, 2016. p. 3-23 (Understanding Complex Systems; Vol. 0).

Research output: Chapter in Book/Report/Conference proceedingChapter

TY - CHAP

T1 - Controlling chimera patterns in networks

T2 - Interplay of structure, noise, and delay

AU - Zakharova, Anna

AU - Loos, Sarah A.M.

AU - Siebert, Julien

AU - Gjurchinovski, Aleksandar

AU - Claussen, Jens Christian

AU - Schöll, Eckehard

PY - 2016/1/23

Y1 - 2016/1/23

N2 - We investigate partially coherent and partially incoherent patterns (chimera states) in networks of Stuart-Landau oscillators with symmetry-breaking coupling. In particular,we study two types of chimera states, amplitude chimeras and chimera death, under the influence of time delay and noise. We find that amplitude chimeras are long-living transients, whose lifetime can be controlled by varying the noise intensity and the value of time delay.

AB - We investigate partially coherent and partially incoherent patterns (chimera states) in networks of Stuart-Landau oscillators with symmetry-breaking coupling. In particular,we study two types of chimera states, amplitude chimeras and chimera death, under the influence of time delay and noise. We find that amplitude chimeras are long-living transients, whose lifetime can be controlled by varying the noise intensity and the value of time delay.

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UR - https://link.springer.com/chapter/10.1007%2F978-3-319-28028-8_1

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DO - 10.1007/978-3-319-28028-8_1

M3 - Chapter

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SN - 978-3-319-28027-1

T3 - Understanding Complex Systems

SP - 3

EP - 23

BT - Control of Self-Organizing Nonlinear Systems. Understanding Complex Systems

A2 - Schöll, E.

A2 - Klapp, S.

A2 - Hövel, P.

PB - Springer

ER -

Zakharova A, Loos SAM, Siebert J, Gjurchinovski A, Claussen JC, Schöll E. Controlling chimera patterns in networks: Interplay of structure, noise, and delay. In Schöll E, Klapp S, Hövel P, editors, Control of Self-Organizing Nonlinear Systems. Understanding Complex Systems. Springer. 2016. p. 3-23. (Understanding Complex Systems). https://doi.org/10.1007/978-3-319-28028-8_1