Journal article
Chaos in Kuramoto oscillator networks
- Abstract:
- Kuramoto oscillators are widely used to explain collective phenomena in networks of coupled oscillatory units. We show that simple networks of two populations with a generic coupling scheme, where both coupling strengths and phase lags between and within populations are distinct, can exhibit chaotic dynamics as conjectured by Ott and Antonsen [Chaos 18, 037113 (2008)]. These chaotic mean-field dynamics arise universally across network size, from the continuum limit of infinitely many oscillators down to very small networks with just two oscillators per population. Hence, complicated dynamics are expected even in the simplest description of oscillator networks.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Version of record, pdf, 1.6MB, Terms of use)
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- Publisher copy:
- 10.1063/1.5041444
Authors
+ European Union
More from this funder
- Funding agency for:
- Bick, C
- Grant:
- Marie Curie Actions 626111
- Publisher:
- AIP Publishing
- Journal:
- Chaos More from this journal
- Volume:
- 28
- Issue:
- 7
- Article number:
- 071102
- Publication date:
- 2018-07-18
- Acceptance date:
- 2018-06-20
- DOI:
- EISSN:
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1089-7682
- ISSN:
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1054-1500
- Keywords:
- Pubs id:
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pubs:826789
- UUID:
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uuid:866d9413-61f6-455f-935b-56084f607adc
- Local pid:
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pubs:826789
- Source identifiers:
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826789
- Deposit date:
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2018-07-19
- ARK identifier:
Terms of use
- Copyright holder:
- Bick et al
- Copyright date:
- 2018
- Notes:
-
Published by
AIP Publishing. https://doi.org/10.1063/1.5041444
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