Shear Diversity Prevents Collective Synchronization

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 21 Jun 2011Embargo end date: 01 Jan 2011 Spain English Publisher:American Physical Society (APS)Journal:Physical Review Letters, volume 106 (issn: 0031-9007, eissn: 1079-7114,

Copyright policy )

Authors: Montbrió, Ernest; Pazó Bueno, Diego Santiago;

doi: 10.1103/physrevlett.106.254101 , 10.48550/arxiv.1107.0903

pmid: 21770641

arXiv: 1107.0903

handle: 10902/27204 , 10261/46679

Shear Diversity Prevents Collective Synchronization

- Summary
- Subjects
- Metrics

Abstract

Large ensembles of heterogeneous oscillators often exhibit collective synchronization as a result of mutual interactions. If the oscillators have distributed natural frequencies and common shear (or nonisochronicity), the transition from incoherence to collective synchronization is known to occur at large enough values of the coupling strength. However, here we demonstrate that shear diversity cannot be counterbalanced by diffusive coupling leading to synchronization. We present the first analytical results for the Kuramoto model with distributed shear, and show that the onset of collective synchronization is impossible if the width of the shear distribution exceeds a precise threshold.

Country

Spain

Related Organizations

Keywords

Nonlinear Sciences - Exactly Solvable and Integrable Systems, FOS: Physical sciences, Disordered Systems and Neural Networks (cond-mat.dis-nn), Condensed Matter - Disordered Systems and Neural Networks, Quantitative Biology - Quantitative Methods, Nonlinear Sciences - Adaptation and Self-Organizing Systems, Phase Transition, Oscillometry, FOS: Biological sciences, Stress, Mechanical, Exactly Solvable and Integrable Systems (nlin.SI), Adaptation and Self-Organizing Systems (nlin.AO), Quantitative Methods (q-bio.QM)

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	47
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Top 10%
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 10%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Top 10%