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Journal Article

Basins of attraction of chimera states on networks


Li,  Qiang
External Organizations;

Larosz,  Kelly C.
External Organizations;

Han,  Dingding
External Organizations;

Ji,  Peng
External Organizations;


Kurths,  Jürgen
Potsdam Institute for Climate Impact Research;

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Li, Q., Larosz, K. C., Han, D., Ji, P., Kurths, J. (2022): Basins of attraction of chimera states on networks. - Frontiers in Physiology, 13, 959431.

Cite as: https://publications.pik-potsdam.de/pubman/item/item_27949
Networks of identical coupled oscillators display a remarkable spatiotemporal pattern, the chimera state, where coherent oscillations coexist with incoherent ones. In this paper we show quantitatively in terms of basin stability that stable and breathing chimera states in the original two coupled networks typically have very small basins of attraction. In fact, the original system is dominated by periodic and quasi-periodic chimera states, in strong contrast to the model after reduction, which can not be uncovered by the Ott-Antonsen ansatz. Moreover, we demonstrate that the curve of the basin stability behaves bimodally after the system being subjected to even large perturbations. Finally, we investigate the emergence of chimera states in brain network, through inducing perturbations by stimulating brain regions. The emerged chimera states are quantified by Kuramoto order parameter and chimera index, and results show a weak and negative correlation between these two metrics.