Evidence map›Paper›PMID 27108135›Full record

ArticleBiological cybernetics2016

Entrainment and synchronization in networks of Rayleigh-van der Pol oscillators with diffusive and Haken-Kelso-Bunz couplings.

Francesco Alderisio, Benoît G Bardy, Mario di Bernardo

Abstract read
In one paragraph

Article in Biological cybernetics, 2016. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 11 papers.

0numbers the graph read from it
0cells of the map it votes in
11citing papers in PubMed
–field-weighted citation impact
1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

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3 · Its place in the literature

Who cites it

11 citing papers in PubMed.

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4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

3 authors.

Francesco AlderisioDepartment of Engineering Mathematics, Merchant Venturers' Building, University of Bristol, Woodland Road, Clifton, Bristol, BS8 1UB, UK.
Benoît G BardyEuroMov, Montpellier University, 700 Avenue du Pic Saint-Loup, 34090, Montpellier, France.
Mario di BernardoDepartment of Engineering Mathematics, Merchant Venturers' Building, University of Bristol, Woodland Road, Clifton, Bristol, BS8 1UB, UK. m.dibernardo@bristol.ac.uk.

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

We analyze a network of non-identical Rayleigh-van der Pol (RvdP) oscillators interconnected through either diffusive or nonlinear coupling functions. The work presented here extends existing results on the case of two nonlinearly coupled RvdP oscillators to the problem of considering a network of three or more of them. Specifically, we study synchronization and entrainment in networks of heterogeneous RvdP oscillators and contrast the effects of diffusive linear coupling strategies with the nonlinear Haken-Kelso-Bunz coupling, originally introduced to study human bimanual experiments. We show how convergence of the error among the nodes' trajectories toward a bounded region is possible with both linear and nonlinear coupling functions. Under the assumption that the network is connected, simple, and undirected, analytical results are obtained to prove boundedness of the error when the oscillators are coupled diffusively. All results are illustrated by way of numerical examples and compared with the experimental findings available in the literature on synchronization of people rocking chairs, confirming the effectiveness of the model we propose to capture some of the features of human group synchronization observed experimentally in the previous literature.

Indexed as

Computer SimulationDiffusionNonlinear DynamicsTime FactorsCyberneticsHumansEntrainmentGroup synchronizationHeterogeneous networksHKB couplingHuman coordinationNonlinear oscillators

Identifiers

PMID27108135
PMCPMC4903116

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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.