Emergence of multicluster chimera states
A remarkable phenomenon in spatiotemporal dynamical systems is chimera state, where the structurally and dynamically identical oscillators in a coupled networked system spontaneously break into two groups, one exhibiting coherent motion and another incoherent. This phenomenon was typically studied i...
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Nature Publishing Group
2015
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| Online Access: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4563257/ |
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pubmed-45632572015-09-15 Emergence of multicluster chimera states Yao, Nan Huang, Zi-Gang Grebogi, Celso Lai, Ying-Cheng Article A remarkable phenomenon in spatiotemporal dynamical systems is chimera state, where the structurally and dynamically identical oscillators in a coupled networked system spontaneously break into two groups, one exhibiting coherent motion and another incoherent. This phenomenon was typically studied in the setting of non-local coupling configurations. We ask what can happen to chimera states under systematic changes to the network structure when links are removed from the network in an orderly fashion but the local coupling topology remains invariant with respect to an index shift. We find the emergence of multicluster chimera states. Remarkably, as a parameter characterizing the amount of link removal is increased, chimera states of distinct numbers of clusters emerge and persist in different parameter regions. We develop a phenomenological theory, based on enhanced or reduced interactions among oscillators in different spatial groups, to explain why chimera states of certain numbers of clusters occur in certain parameter regions. The theoretical prediction agrees well with numerics. Nature Publishing Group 2015-09-09 /pmc/articles/PMC4563257/ /pubmed/26350389 http://dx.doi.org/10.1038/srep12988 Text en Copyright © 2015, Macmillan Publishers Limited http://creativecommons.org/licenses/by/4.0/ This work is licensed under a Creative Commons Attribution 4.0 International License. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder to reproduce the material. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/ |
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Open Access Journal |
| institution_category |
Foreign Institution |
| institution |
US National Center for Biotechnology Information |
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NCBI PubMed |
| collection |
Online Access |
| language |
English |
| format |
Online |
| author |
Yao, Nan Huang, Zi-Gang Grebogi, Celso Lai, Ying-Cheng |
| spellingShingle |
Yao, Nan Huang, Zi-Gang Grebogi, Celso Lai, Ying-Cheng Emergence of multicluster chimera states |
| author_facet |
Yao, Nan Huang, Zi-Gang Grebogi, Celso Lai, Ying-Cheng |
| author_sort |
Yao, Nan |
| title |
Emergence of multicluster chimera states |
| title_short |
Emergence of multicluster chimera states |
| title_full |
Emergence of multicluster chimera states |
| title_fullStr |
Emergence of multicluster chimera states |
| title_full_unstemmed |
Emergence of multicluster chimera states |
| title_sort |
emergence of multicluster chimera states |
| description |
A remarkable phenomenon in spatiotemporal dynamical systems is chimera state, where the structurally and dynamically identical oscillators in a coupled networked system spontaneously break into two groups, one exhibiting coherent motion and another incoherent. This phenomenon was typically studied in the setting of non-local coupling configurations. We ask what can happen to chimera states under systematic changes to the network structure when links are removed from the network in an orderly fashion but the local coupling topology remains invariant with respect to an index shift. We find the emergence of multicluster chimera states. Remarkably, as a parameter characterizing the amount of link removal is increased, chimera states of distinct numbers of clusters emerge and persist in different parameter regions. We develop a phenomenological theory, based on enhanced or reduced interactions among oscillators in different spatial groups, to explain why chimera states of certain numbers of clusters occur in certain parameter regions. The theoretical prediction agrees well with numerics. |
| publisher |
Nature Publishing Group |
| publishDate |
2015 |
| url |
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4563257/ |
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1613473791061524480 |