Chaos in Kuramoto oscillator networks

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

SN - 1054-1500

VL - 28

JO - Chaos

JF - Chaos

IS - 7

M1 - 071102

ER -