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 …

Real-world networks often consist of millions of heterogenous elements that interact at
multiple timescales and length scales. The fields of statistical physics and control theory both …

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 …

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 …

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

The tools of weakly coupled phase oscillator theory have had a profound impact on the
neuroscience community, providing insight into a variety of network behaviours ranging from …

We demonstrate that chimera behavior can be observed in nonlocally coupled networks of
excitable systems in the presence of noise. This phenomenon is distinct from classical …

We suggest a definition for a type of chimera state that appears in networks of
indistinguishable phase oscillators. Defining a “weak chimera” as a type of invariant set …

Conceptually and structurally simple mathematical models of coupled oscillator networks
can show a rich variety of complex dynamics, providing fundamental insights into many real …