Emergence of multicluster chimera states

Nan Yao, Zi-Gang Huang, Celso Grebogi, Ying-Cheng Lai

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Abstract

A remarkable phenomenon in spatiotemporal dynamical systems is chimera state, where the struc- turally 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 per- sist 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.
Original languageEnglish
Article number12988
JournalScientific Reports
Volume5
DOIs
Publication statusPublished - 9 Sep 2015

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oscillators
dynamical systems
topology
shift
configurations
predictions
interactions

Keywords

  • complex networks
  • computational science
  • nonlinear phenomena

Cite this

Emergence of multicluster chimera states. / Yao, Nan; Huang, Zi-Gang; Grebogi, Celso; Lai, Ying-Cheng.

In: Scientific Reports, Vol. 5, 12988, 09.09.2015.

Research output: Contribution to journalArticle

Yao, Nan ; Huang, Zi-Gang ; Grebogi, Celso ; Lai, Ying-Cheng. / Emergence of multicluster chimera states. In: Scientific Reports. 2015 ; Vol. 5.
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