Wall-bounded turbulence exhibits patterns that persist in time and space: coherent
structures. These are important for transport processes and form a conceptual framework for …

Pipe flow is a prominent example among the shear flows that undergo transition to
turbulence without mediation by a linear instability of the laminar profile. Experiments on …

Populations of coupled oscillators may exhibit two coexisting subpopulations, one with
synchronized oscillations and the other with unsynchronized oscillations, even though all of …

Chimera states are self-organized spatiotemporal patterns of coexisting coherence and
incoherence. We give an overview of the main mathematical methods used in studies of …

We report a novel mechanism for the formation of chimera states, a peculiar spatiotemporal
pattern with coexisting synchronized and incoherent domains found in ensembles of …

We present a universal characterization scheme for chimera states applicable to both
numerical and experimental data sets. The scheme is based on two correlation measures …

Spatiotemporal chaos and turbulence are universal concepts for the explanation of irregular
behavior in various physical systems. Recently, a remarkable new phenomenon, called …

Experiments and numerical simulations have shown that turbulence in transitional wall-
bounded shear flows frequently takes the form of long oblique bands if the domains are …

We report the observation of superstructures, ie, very large-scale and long living coherent
structures in highly turbulent Rayleigh-Bénard convection up to Rayleigh Ra= 10 9. We …

The formation of turbulent patterns in plane Couette flow is investigated near the onset of
transition, using numerical simulation in a very large domain of size 800 h× 2 h× 356 h …