Chimeras

F Parastesh, S Jafari, H Azarnoush, Z Shahriari… - Physics Reports, 2021 - Elsevier
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 …

Synchronization patterns and chimera states in complex networks: Interplay of topology and dynamics

E Schöll - The European Physical Journal Special Topics, 2016 - Springer
We review chimera patterns, which consist of coexisting spatial domains of coherent
(synchronized) and incoherent (desynchronized) dynamics in networks of identical …

The mathematics behind chimera states

OE Omel'chenko - Nonlinearity, 2018 - iopscience.iop.org
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 …

Chimera patterns in networks

A Zakharova - Springer, 2020 - Springer
Synchronization phenomena represent one of the central issues in the modern research, in
particular, on nonlinear dynamics, network science, and statistical physics with applications …

FitzHugh–Nagumo oscillators on complex networks mimic epileptic-seizure-related synchronization phenomena

M Gerster, R Berner, J Sawicki, A Zakharova… - … Journal of Nonlinear …, 2020 - pubs.aip.org
We study patterns of partial synchronization in a network of FitzHugh–Nagumo oscillators
with empirical structural connectivity measured in human subjects. We report the …

Chimera states: effects of different coupling topologies

BK Bera, S Majhi, D Ghosh, M Perc - Europhysics Letters, 2017 - iopscience.iop.org
Collective behavior among coupled dynamical units can emerge in various forms as a result
of different coupling topologies as well as different types of coupling functions. Chimera …

Chimera states in brain networks: Empirical neural vs. modular fractal connectivity

T Chouzouris, I Omelchenko, A Zakharova… - … Journal of Nonlinear …, 2018 - pubs.aip.org
Complex spatiotemporal patterns, called chimera states, consist of coexisting coherent and
incoherent domains and can be observed in networks of coupled oscillators. The interplay of …

Mechanisms of appearance of amplitude and phase chimera states in ensembles of nonlocally coupled chaotic systems

SA Bogomolov, AV Slepnev, GI Strelkova… - … in Nonlinear Science …, 2017 - Elsevier
We explore the bifurcation transition from coherence to incoherence in ensembles of
nonlocally coupled chaotic systems. It is firstly shown that two types of chimera states …

Chimera state in complex networks of bistable Hodgkin-Huxley neurons

AV Andreev, NS Frolov, AN Pisarchik, AE Hramov - Physical Review E, 2019 - APS
In this paper we study a chimera state in complex networks of bistable Hodgkin-Huxley
neurons with excitatory coupling, which manifests as a termination of spiking activity of a part …

Chimera patterns induced by distance-dependent power-law coupling in ecological networks

T Banerjee, PS Dutta, A Zakharova, E Schöll - Physical Review E, 2016 - APS
This paper reports the occurrence of several chimera patterns and the associated transitions
among them in a network of coupled oscillators, which are connected by a long-range …