Basins of attraction of chimera states on networks

Basins of attraction of chimera states on networks

Blog Article

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 bonviv 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 miracle academy clothing 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.