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 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.
Department of Applied Physics, Xi'an University of Technology, Xi'an 710054, China.|School of Electrical, Computer and Energy Engineering, Arizona State University, Tempe, AZ 85287, USA.
Nan
N
Yao
School of Electrical, Computer and Energy Engineering, Arizona State University, Tempe, AZ 85287, USA.|School of Physical Science and Technology, Lanzhou University, Lanzhou 730000, China.
Zi-Gang
ZG
Huang
Institute for Complex Systems and Mathematical Biology, King's College, University of Aberdeen, Aberdeen AB24 3UE, United Kingdom.
Celso
C
Grebogi
School of Electrical, Computer and Energy Engineering, Arizona State University, Tempe, AZ 85287, USA.|Institute for Complex Systems and Mathematical Biology, King's College, University of Aberdeen, Aberdeen AB24 3UE, United Kingdom.|Department of Physics, Arizona State University, Tempe, Arizona 85287, USA.
Ying-Cheng
YC
Lai