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Title:Basin stability for chimera states
Authors:ID Rakshit, Sarbendu (Author)
ID Bera, Bidesh (Author)
ID Perc, Matjaž (Author)
ID Ghosh, Dibakar (Author)
Files:.pdf Scientific_Reports_2017_Rakshit_et_al._Basin_stability_for_chimera_states.pdf (4,46 MB)
MD5: CF5E7E505A5D282D874DBC874791767B
 
URL http://www.nature.com/articles/s41598-017-02409-5
 
Language:English
Work type:Article
Typology:1.01 - Original Scientific Article
Organization:FNM - Faculty of Natural Sciences and Mathematics
Abstract:Chimera states, namely complex spatiotemporal patterns that consist of coexisting domains of spatially coherent and incoherent dynamics, are investigated in a network of coupled identical oscillators. These intriguing spatiotemporal patterns were first reported in nonlocally coupled phase oscillators, and it was shown that such mixed type behavior occurs only for specific initial conditions in nonlocally and globally coupled networks. The influence of initial conditions on chimera states has remained a fundamental problem since their discovery. In this report, we investigate the robustness of chimera states together with incoherent and coherent states in dependence on the initial conditions. For this, we use the basin stability method which is related to the volume of the basin of attraction, and we consider nonlocally and globally coupled time-delayed Mackey-Glass oscillators as example. Previously, it was shown that the existence of chimera states can be characterized by mean phase velocity and a statistical measure, such as the strength of incoherence, by using well prepared initial conditions. Here we show further how the coexistence of different dynamical states can be identified and quantified by means of the basin stability measure over a wide range of the parameter space.
Keywords:synchronization, oscillations, symmetry breaking, network
Publication status:Published
Publication version:Version of Record
Year of publishing:2017
Number of pages:str. 1-12
Numbering:Letn. 7
PID:20.500.12556/DKUM-66389 New window
ISSN:2045-2322
UDC:53
ISSN on article:2045-2322
COBISS.SI-ID:23136264 New window
DOI:10.1038/s41598-017-02409-5 New window
NUK URN:URN:SI:UM:DK:EIJLSQOI
Publication date in DKUM:23.06.2017
Views:1274
Downloads:365
Metadata:XML DC-XML DC-RDF
Categories:Misc.
:
RAKSHIT, Sarbendu, BERA, Bidesh, PERC, Matjaž and GHOSH, Dibakar, 2017, Basin stability for chimera states. Scientific reports [online]. 2017. Vol. 7, p. 1–12. [Accessed 25 April 2025]. DOI 10.1038/s41598-017-02409-5. Retrieved from: https://dk.um.si/IzpisGradiva.php?lang=eng&id=66389
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Record is a part of a journal

Title:Scientific reports
Shortened title:Sci. rep.
Publisher:Nature Publishing Group
ISSN:2045-2322
COBISS.SI-ID:18727432 New window

Document is financed by a project

Funder:ARRS - Slovenian Research Agency
Project number:P5-0027
Name:Prilagajanje slovenskega gospodarstva in razvojna identiteta Slovenije v EU

Licences

License:CC BY 4.0, Creative Commons Attribution 4.0 International
Link:http://creativecommons.org/licenses/by/4.0/
Description:This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.
Licensing start date:23.06.2017

Secondary language

Language:Slovenian
Keywords:sinhronizacija, oscilacije, zlom simetrije, omrežje


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