Abstract
| Original language | English |
|---|---|
| Article number | 12988 |
| Journal | Scientific Reports |
| Volume | 5 |
| DOIs | |
| Publication status | Published - 9 Sep 2015 |
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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 journal › Article
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TY - JOUR
T1 - Emergence of multicluster chimera states
AU - Yao, Nan
AU - Huang, Zi-Gang
AU - Grebogi, Celso
AU - Lai, Ying-Cheng
N1 - We thank Prof. L. Huang for helpful discussions. This work was partially supported by ARO under Grant No. W911NF-14-1-0504 and by NSF of China under Grant No. 11275003. The visit of NY to Arizona State University was partially sponsored by Prof. Z. Zheng and the State Scholarship Fund of China.
PY - 2015/9/9
Y1 - 2015/9/9
N2 - 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.
AB - 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.
KW - complex networks
KW - computational science
KW - nonlinear phenomena
U2 - 10.1038/srep12988
DO - 10.1038/srep12988
M3 - Article
VL - 5
JO - Scientific Reports
JF - Scientific Reports
SN - 2045-2322
M1 - 12988
ER -