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

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 …

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 …

The synchronization of coupled oscillators is a fascinating manifestation of self-organization
that nature uses to orchestrate essential processes of life, such as the beating of the heart …

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 …

For a network of generic oscillators with nonlocal topology and symmetry-breaking coupling
we establish novel partially coherent inhomogeneous spatial patterns, which combine the …

Chimera states, representing a spontaneous breakup of a population of identical oscillators
that are identically coupled, into subpopulations displaying synchronized and …

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 have identified the occurrence of chimera states for various coupling schemes in
networks of two-dimensional and three-dimensional Hindmarsh–Rose oscillators, which …

Large communities of biological oscillators show a prevalent tendency to self-organize in
time. This cooperative phenomenon inspired Winfree to formulate a mathematical model that …