Dynamics of globally coupled oscillators: Progress and perspectives

A Pikovsky, M Rosenblum - Chaos: An Interdisciplinary Journal of …, 2015 - pubs.aip.org
In this paper, we discuss recent progress in research of ensembles of mean field coupled
oscillators. Without an ambition to present a comprehensive review, we outline most …

From quasiperiodic partial synchronization to collective chaos in populations of inhibitory neurons with delay

D Pazó, E Montbrió - Physical review letters, 2016 - APS
Collective chaos is shown to emerge, via a period-doubling cascade, from quasiperiodic
partial synchronization in a population of identical inhibitory neurons with delayed global …

Dynamics of a large system of spiking neurons with synaptic delay

F Devalle, E Montbrió, D Pazó - Physical Review E, 2018 - APS
We analyze a large system of heterogeneous quadratic integrate-and-fire (QIF) neurons with
time delayed, all-to-all synaptic coupling. The model is exactly reduced to a system of firing …

Interplay of coupling and common noise at the transition to synchrony in oscillator populations

AV Pimenova, DS Goldobin, M Rosenblum… - Scientific reports, 2016 - nature.com
There are two ways to synchronize oscillators: by coupling and by common forcing, which
can be pure noise. By virtue of the Ott-Antonsen ansatz for sine-coupled phase oscillators …

Finite-size-induced transitions to synchrony in oscillator ensembles with nonlinear global coupling

M Komarov, A Pikovsky - Physical Review E, 2015 - APS
We report on finite-sized-induced transitions to synchrony in a population of phase
oscillators coupled via a nonlinear mean field, which microscopically is equivalent to a …

Simple and complex chimera states in a nonlinearly coupled oscillatory medium

M Bolotov, L Smirnov, G Osipov… - … Interdisciplinary Journal of …, 2018 - pubs.aip.org
We consider chimera states in a one-dimensional medium of nonlinear nonlocally coupled
phase oscillators. In terms of a local coarse-grained complex order parameter, the problem …

Synchronization of coupled active rotators by common noise

AV Dolmatova, DS Goldobin, A Pikovsky - Physical Review E, 2017 - APS
We study the effect of common noise on coupled active rotators. While such a noise always
facilitates synchrony, coupling may be attractive (synchronizing) or repulsive …

Chimeras and complex cluster states in arrays of spin-torque oscillators

M Zaks, A Pikovsky - Scientific reports, 2017 - nature.com
We consider synchronization properties of arrays of spin-torque nano-oscillators coupled via
an RC load. We show that while the fully synchronized state of identical oscillators may be …

Self-organized multifrequency clusters in an oscillating electrochemical system with strong nonlinear coupling

M Patzauer, K Krischer - Physical Review Letters, 2021 - APS
We study the spatiotemporal dynamics of the oscillatory photoelectrodissolution of n-type Si
in a fluoride-containing electrolyte under anodic potentials using in situ ellipsometric …

Revealing the deterministic components in active avalanche-like dynamics

I Tiwari, S Upadhye, VS Akella, P Parmananda - Soft Matter, 2021 - pubs.rsc.org
Avalanche dynamics in an ensemble of self-propelled camphor boats are studied. The self-
propelled agents are camphor infused circular paper disks moving on the surface of water …