Chimeras
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 …
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 …
(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 …
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 …
particular, on nonlinear dynamics, network science, and statistical physics with applications …
FitzHugh–Nagumo oscillators on complex networks mimic epileptic-seizure-related synchronization phenomena
We study patterns of partial synchronization in a network of FitzHugh–Nagumo oscillators
with empirical structural connectivity measured in human subjects. We report the …
with empirical structural connectivity measured in human subjects. We report the …
Chimera states: effects of different coupling topologies
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 …
of different coupling topologies as well as different types of coupling functions. Chimera …
Chimera states in brain networks: Empirical neural vs. modular fractal connectivity
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 …
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
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 …
nonlocally coupled chaotic systems. It is firstly shown that two types of chimera states …
Chimera state in complex networks of bistable Hodgkin-Huxley neurons
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 …
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
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 …
among them in a network of coupled oscillators, which are connected by a long-range …