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 …

Transition from spatial coherence to incoherence in coupled chaotic systems

I Omelchenko, B Riemenschneider, P Hövel… - Physical Review E …, 2012 - APS
We investigate the spatio-temporal dynamics of coupled chaotic systems with nonlocal
interactions, where each element is coupled to its nearest neighbors within a finite range …

Cluster and group synchronization in delay-coupled networks

T Dahms, J Lehnert, E Schöll - Physical Review E—Statistical, Nonlinear, and …, 2012 - APS
We investigate the stability of synchronized states in delay-coupled networks where
synchronization takes place in groups of different local dynamics or in cluster states in …

Explosive synchronization enhanced by time-delayed coupling

TKDM Peron, FA Rodrigues - Physical Review E—Statistical, Nonlinear, and …, 2012 - APS
This paper deals with the emergence of explosive synchronization in scale-free networks by
considering the Kuramoto model of coupled phase oscillators. The natural frequencies of …

Synchronization in ensembles of delay-coupled nonidentical neuronlike oscillators

DD Kulminskiy, VI Ponomarenko, MD Prokhorov… - Nonlinear …, 2019 - Springer
We study both numerically and experimentally the synchronization in an ensemble of
nonidentical neuronlike oscillators described by the FitzHugh–Nagumo equations. The …

Role of coupling delay in oscillatory activity in autonomous networks of excitable neurons with dissipation

AV Bukh, IA Shepelev, EM Elizarov, SS Muni… - … Journal of Nonlinear …, 2023 - pubs.aip.org
We study numerically effects of time delay in networks of delay-coupled excitable FitzHugh–
Nagumo systems with dissipation. Generation of periodic self-sustained oscillations and its …

Delayed-feedback chimera states: Forced multiclusters and stochastic resonance

V Semenov, A Zakharova, Y Maistrenko… - Europhysics …, 2016 - iopscience.iop.org
A nonlinear oscillator model with negative time-delayed feedback is studied numerically
under external deterministic and stochastic forcing. It is found that in the unforced system …

Complex partial synchronization patterns in networks of delay-coupled neurons

D Nikitin, I Omelchenko… - … of the Royal …, 2019 - royalsocietypublishing.org
We study the spatio-temporal dynamics of a multiplex network of delay-coupled FitzHugh–
Nagumo oscillators with non-local and fractal connectivities. Apart from chimera states, a …

Controlling cluster synchronization by adapting the topology

J Lehnert, P Hövel, A Selivanov, A Fradkov, E Schöll - Physical Review E, 2014 - APS
We suggest an adaptive control scheme for the control of in-phase and cluster
synchronization in delay-coupled networks. Based on the speed-gradient method, our …

Synchronization of networks of oscillators with distributed delay coupling

YN Kyrychko, KB Blyuss, E Schöll - Chaos: An Interdisciplinary Journal …, 2014 - pubs.aip.org
This paper studies the stability of synchronized states in networks, where couplings between
nodes are characterized by some distributed time delay, and develops a generalized master …