Emergence of multicluster chimera states

Scientific Reports
Nan YaoYing-Cheng Lai

Abstract

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.

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Citations

Apr 26, 2018·Physical Review Letters·Hong-Ya XuYing-Cheng Lai
Sep 6, 2018·Chaos·V SantosJ Kurths
Feb 20, 2019·Physical Review. E·Nan YaoYing-Cheng Lai
Oct 24, 2019·Physical Review. E·D V Senthilkumar, V K Chandrasekar
Apr 18, 2021·Physical Review. E·Kazuha ItabashiYoshihiko Hasegawa
Jul 18, 2021·Physical Review. E·Gaël R SimoHilda A Cerdeira

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