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We report the first observation of three-dimensional chimera states of the following types: \textit{incoherent steaks} (i.e. ''tubes'' of spiral vorticity) \textit{incoherent ball}, and \textit{incoherent tubes}. The dynamical system of concern is governed by nonlocaly coupled Kuramoto network of $N^3$ oscillators
uniformly distributed on a 3Dim torus. The coupling is supposed to be long-ranged and isotropic: each oscillator is coupled with equal strength to all its nearest neighbors within range $R$, and with phase shift $\alpha$.
We find that 3-D chimera states exist in a wide region of the parameter space $(R,\alpha)$, where they co-exist with regular space-time regimes.
Cascades of 3-D chimera states with increasing number of streaks and other chimera types are obtained in analogy with 1-D case.
The massive calculations were performed at the computer cluster "CHIMERA"
(http://nll.biomed.kiev.ua/cluster) and GRID infrastructure.
The contribution comprises video presentation illustrating the origin and evolution of the 3-D chimera states. |
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