Chaos in Kuramoto oscillator networks
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Chaos in Kuramoto oscillator networks. / Bick, Christian; Panaggio, Mark J.; Martens, Erik A.
In: Chaos, Vol. 28, No. 7, 071102, 01.07.2018.Research output: Contribution to journal › Journal article › Research › peer-review
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TY - JOUR
T1 - Chaos in Kuramoto oscillator networks
AU - Bick, Christian
AU - Panaggio, Mark J.
AU - Martens, Erik A.
PY - 2018/7/1
Y1 - 2018/7/1
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, 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.
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, 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.
UR - http://www.scopus.com/inward/record.url?scp=85050450883&partnerID=8YFLogxK
U2 - 10.1063/1.5041444
DO - 10.1063/1.5041444
M3 - Journal article
C2 - 30070510
AN - SCOPUS:85050450883
VL - 28
JO - Chaos
JF - Chaos
SN - 1054-1500
IS - 7
M1 - 071102
ER -
ID: 201869118