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Time delay in the Kuramoto model with bimodal frequency distribution

  • We investigate the effects of a time-delayed all-to-all coupling scheme in a large population of oscillators with natural frequencies following a bimodal distribution. The regions of parameter space corresponding to synchronized and incoherent solutions are obtained both numerically and analytically for particular frequency distributions. In particular, we find that bimodality introduces a new time scale that results in a quasiperiodic disposition of the regions of incoherence.

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Metadaten
Author details:Ernest MontbrioORCiD, Diego PazoORCiD, Jürgen Schmidt
DOI:https://doi.org/10.1103/PhysRevE.74.056201
ISSN:1539-3755
Pubmed ID:https://pubmed.ncbi.nlm.nih.gov/17279978
Title of parent work (English):Physical review : E, Statistical, nonlinear and soft matter physics
Publisher:APS
Place of publishing:College Park
Publication type:Article
Language:English
Date of first publication:2006/11/02
Publication year:2006
Release date:2020/05/07
Volume:74
Number of pages:5
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie
DDC classification:5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik
Peer review:Referiert
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