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 …

Neuronal networks, similar to many other complex systems, self-organize into fascinating
emergent states that are not only visually compelling, but also vital for the proper functioning …

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 paper is devoted to the review of the coherence resonance phenomenon in excitable
neural networks. In particular, we explain how coherence can be measured and how noise …

We study the emergence of chimera states in a multilayer neuronal network, where one
layer is composed of coupled and the other layer of uncoupled neurons. Through the …

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

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

We articulate the design imperatives for machine learning based digital twins for nonlinear
dynamical systems, which can be used to monitor the “health” of the system and anticipate …

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 …