Chimeras are this year coming of age since they were first observed by Kuramoto and
Battogtokh in 2002 in a one-dimensional network of complex Ginzburg–Landau equations …

Percolation and synchronization are two phase transitions that have been extensively
studied since already long ago. A classic result is that, in the vast majority of cases, these …

A chimera state is a spatio-temporal pattern in a network of identical coupled oscillators in
which synchronous and asynchronous oscillation coexist. This state of broken symmetry …

We review chimera patterns, which consist of coexisting spatial domains of coherent
(synchronized) and incoherent (desynchronized) dynamics in networks of identical …

Systems of nonlocally coupled oscillators can exhibit complex spatiotemporal patterns,
called chimera states, which consist of coexisting domains of spatially coherent …

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 discuss the breakdown of spatial coherence in networks of coupled oscillators with
nonlocal interaction. By systematically analyzing the dependence of the spatiotemporal …

Time-delayed systems are found to display remarkable temporal patterns the dynamics of
which split into regular and chaotic components repeating at the interval of a delay. This …

Synchronization phenomena represent one of the central issues in the modern research, in
particular, on nonlinear dynamics, network science, and statistical physics with applications …

We study patterns of partial synchronization in a network of FitzHugh–Nagumo oscillators
with empirical structural connectivity measured in human subjects. We report the …