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The Kuramoto model in complex networks
Synchronization of an ensemble of oscillators is an emergent phenomenon present in
several complex systems, ranging from social and physical to biological and technological …
several complex systems, ranging from social and physical to biological and technological …
Critical phenomena in complex networks
The combination of the compactness of networks, featuring small diameters, and their
complex architectures results in a variety of critical effects dramatically different from those in …
complex architectures results in a variety of critical effects dramatically different from those in …
Oscillators that sync and swarm
Synchronization occurs in many natural and technological systems, from cardiac pacemaker
cells to coupled lasers. In the synchronized state, the individual cells or lasers coordinate the …
cells to coupled lasers. In the synchronized state, the individual cells or lasers coordinate the …
Dynamics of globally coupled oscillators: Progress and perspectives
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 …
oscillators. Without an ambition to present a comprehensive review, we outline most …
Hysteretic transitions in the Kuramoto model with inertia
We report finite-size numerical investigations and mean-field analysis of a Kuramoto model
with inertia for fully coupled and diluted systems. In particular, we examine, for a gaussian …
with inertia for fully coupled and diluted systems. In particular, we examine, for a gaussian …
The role of dimensionality in neuronal network dynamics
Recent results from network theory show that complexity affects several dynamical
properties of networks that favor synchronization. Here we show that synchronization in 2D …
properties of networks that favor synchronization. Here we show that synchronization in 2D …
Synchronization in network geometries with finite spectral dimension
Recently there is a surge of interest in network geometry and topology. Here we show that
the spectral dimension plays a fundamental role in establishing a clear relation between the …
the spectral dimension plays a fundamental role in establishing a clear relation between the …
Coherent oscillations in balanced neural networks driven by endogenous fluctuations
We present a detailed analysis of the dynamical regimes observed in a balanced network of
identical quadratic integrate-and-fire neurons with sparse connectivity for homogeneous and …
identical quadratic integrate-and-fire neurons with sparse connectivity for homogeneous and …
Cyclops states in repulsive Kuramoto networks: The role of higher-order coupling
Repulsive oscillator networks can exhibit multiple cooperative rhythms, including chimera
and cluster splay states. Yet, understanding which rhythm prevails remains challenging …
and cluster splay states. Yet, understanding which rhythm prevails remains challenging …
Collective steady-state patterns of swarmalators with finite-cutoff interaction distance
We study the steady-state patterns of population of the coupled oscillators that sync and
swarm, where the interaction distances among the oscillators have a finite-cutoff in the …
swarm, where the interaction distances among the oscillators have a finite-cutoff in the …