The Kuramoto model in complex networks

FA Rodrigues, TKDM Peron, P Ji, J Kurths - Physics Reports, 2016 - Elsevier
Synchronization of an ensemble of oscillators is an emergent phenomenon present in
several complex systems, ranging from social and physical to biological and technological …

Nonlinear relaxation phenomena in metastable condensed matter systems

B Spagnolo, C Guarcello, L Magazzù, A Carollo… - Entropy, 2016 - mdpi.com
Nonlinear relaxation phenomena in three different systems of condensed matter are
investigated.(i) First, the phase dynamics in Josephson junctions is analyzed. Specifically, a …

Activation process in excitable systems with multiple noise sources: Large number of units

I Franović, M Perc, K Todorović, S Kostić, N Burić - Physical Review E, 2015 - APS
We study the activation process in large assemblies of type II excitable units whose
dynamics is influenced by two independent noise terms. The mean-field approach is applied …

Collective dynamics in two populations of noisy oscillators with asymmetric interactions

B Sonnenschein, TKDM Peron, FA Rodrigues, J Kurths… - Physical Review E, 2015 - APS
We study two intertwined globally coupled networks of noisy Kuramoto phase oscillators that
have the same natural frequency but differ in their perception of the mean field and their …

Emergence and coherence of oscillations in star networks of stochastic excitable elements

JA Kromer, L Schimansky-Geier, AB Neiman - Physical Review E, 2016 - APS
We study the emergence and coherence of stochastic oscillations in star networks of
excitable elements in which peripheral nodes receive independent random inputs. A …

Intermittent Bellerophon state in frequency-weighted Kuramoto model

W Zhou, Y Zou, J Zhou, Z Liu, S Guan - Chaos: An Interdisciplinary …, 2016 - pubs.aip.org
Recently, the Bellerophon state, which is a quantized, time dependent, clustering state, was
revealed in globally coupled oscillators [Bi et al., Phys. Rev. Lett. 117, 204101 (2016)]. The …

Drifting states and synchronization induced chaos in autonomous networks of excitable neurons

R Echeveste, C Gros - Frontiers in computational neuroscience, 2016 - frontiersin.org
The study of balanced networks of excitatory and inhibitory neurons has led to several open
questions. On the one hand it is yet unclear whether the asynchronous state observed in the …

Effects of Repulsive Coupling in Ensembles of Excitable Elements

R Ronge - 2022 - edoc.hu-berlin.de
We study the collective dynamics of class I excitable elements, which can be described
within the theory of nonlinear dynamics as systems close to a saddle-node bifurcation on an …

Gaussian theory for spatially distributed self-propelled particles

H Seyed-Allaei, L Schimansky-Geier, MR Ejtehadi - Physical Review E, 2016 - APS
Obtaining a reduced description with particle and momentum flux densities outgoing from
the microscopic equations of motion of the particles requires approximations. The usual …

New trends in nonequilibrium statistical mechanics: classical and quantum systems

B Spagnolo, AA Dubkov, D Valenti - Journal of Statistical …, 2020 - iopscience.iop.org
The main aim of this special issue is to report recent advances and new trends in
nonequilibrium statistical mechanics of classical and quantum systems, from both theoretical …