TY - JOUR
T1 - Connecting the Kuramoto Model and the Chimera State
AU - Kotwal, Tejas
AU - Jiang, Xin
AU - Abrams, Daniel M.
N1 - Publisher Copyright:
© 2017 American Physical Society.
PY - 2017/12/29
Y1 - 2017/12/29
N2 - Since its discovery in 2002, the chimera state has frequently been described as a counterintuitive, puzzling phenomenon. The Kuramoto model, in contrast, has become a celebrated paradigm useful for understanding a range of phenomena related to phase transitions, synchronization, and network effects. Here we show that the chimera state can be understood as emerging naturally through a symmetry-breaking bifurcation from the Kuramoto model's partially synchronized state. Our analysis sheds light on recent observations of chimera states in laser arrays, chemical oscillators, and mechanical pendula.
AB - Since its discovery in 2002, the chimera state has frequently been described as a counterintuitive, puzzling phenomenon. The Kuramoto model, in contrast, has become a celebrated paradigm useful for understanding a range of phenomena related to phase transitions, synchronization, and network effects. Here we show that the chimera state can be understood as emerging naturally through a symmetry-breaking bifurcation from the Kuramoto model's partially synchronized state. Our analysis sheds light on recent observations of chimera states in laser arrays, chemical oscillators, and mechanical pendula.
UR - https://www.scopus.com/pages/publications/85039722218
U2 - 10.1103/PhysRevLett.119.264101
DO - 10.1103/PhysRevLett.119.264101
M3 - 文章
C2 - 29328734
AN - SCOPUS:85039722218
SN - 0031-9007
VL - 119
JO - Physical Review Letters
JF - Physical Review Letters
IS - 26
M1 - 264101
ER -