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| Chimera state is a remarkable space-temporal phenomenon in nonlocally coupled dynamical systems that displays a self-organized pattern of co-existing coherence and incoherence. Intriguingly, this kind a hybrid behavior can develops robustly as a spontaneous symmetry breaking without any influence of asymmetry. Originally, chimera state was discovered for nonlocally coupled complex Ginzburg-Landau equation and Kuramoto model. Currently, this is an area of intense theoretical and experimental research, and for now, chimeras have already been found in many systems from various fields.
In this talk, I report new discovered cascades of chimera states which are characterized by increasing number of the regions of irregularity, so-called chimera's heads, typically arising in networks with attractive and with repulsive coupling. For the cascades, parameter regions for multi-headed chimera states are obtained. Neighboring chimera's regions appear to be heavily intersecting which means that chimeras with different head number can co-exist. Finally, I will present the very first observation of three-dimensional chimera states in the form of spirally-rotating streaks with incoherent core and an incoherent ball within regular flow, which also emerge as cascades of multi-headed chimera states. |
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