  Chimera states have been recently found in a variety of different coupling
schemes and geometries. In most cases, the underlying coupling structure is
considered to be static, while many realistic systems display significant
temporal changes in the pattern of connectivity. In this work, we investigate a
time-varying network made of two coupled populations of Kuramoto oscillators,
where the links between the two groups are considered to vary over time. As a
main result, we find that the network may support stable, breathing and
alternating chimera states. We also find that, when the rate of connectivity
changes is fast, compared to the oscillator dynamics, the network may be
described by a low-dimensional system of equations. Unlike in the static
heterogeneous case, the onset of alternating chimera states is due to the
presence of fluctuations, which may be induced either by the finite size of the
network or by large switching times.

Adaptation and Self-Organizing Systems;Chaotic Dynamics