Many biological and neural systems can be seen as networks of interacting periodic
processes. Importantly, their functionality, ie, whether these networks can perform their …

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 …

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 …

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

Networks of nonlocally coupled phase oscillators can support chimera states in which
identical oscillators evolve into distinct groups that exhibit coexisting synchronous and …

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 phenomenon of chimera states in the systems of coupled, identical oscillators has
attracted a great deal of recent theoretical and experimental interest. In such a state, different …

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

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