Chaos in Kuramoto Oscillator Networks

Christian Bick, Mark J. Panaggio, Erik Andreas Martens

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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 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
Original languageEnglish
Article number071102
JournalChaos
Volume28
Number of pages10
ISSN1054-1500
DOIs
Publication statusPublished - 2018

Bibliographical note

Editor's pick.

Cite this

Bick, Christian ; Panaggio, Mark J. ; Martens, Erik Andreas. / Chaos in Kuramoto Oscillator Networks. In: Chaos. 2018 ; Vol. 28.
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Chaos in Kuramoto Oscillator Networks. / Bick, Christian; Panaggio, Mark J.; Martens, Erik Andreas.

In: Chaos, Vol. 28, 071102 , 2018.

Research output: Contribution to journalJournal articleResearchpeer-review

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AU - Bick, Christian

AU - Panaggio, Mark J.

AU - Martens, Erik Andreas

N1 - Editor's pick.

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N2 - 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 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

AB - 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 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

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