TY - JOUR
T1 - Effect of mobility on collective phase dynamics of nonlocally coupled oscillators with a phase lag
AU - Li, Bojun
AU - Uchida, Nariya
N1 - Funding Information:
This work was supported by JST, the establishment of university fellowships towards the creation of science technology innovation, Grant No. JPMJFS2102 to B.L., and by KAKENHI Grant No. JP21K03396 to N.U.
Publisher Copyright:
© 2022 American Physical Society.
PY - 2022/11
Y1 - 2022/11
N2 - Nonlocally coupled oscillators with a phase lag self-organize into various patterns, such as global synchronization, the twisted state, and the chimera state. In this paper, we consider nonlocally coupled oscillators that move on a ring by randomly exchanging their positions with the neighbors and investigate the combined effects of phase lag and mobility on the collective phase dynamics. Spanning the whole range of phase lag and mobility, we show that mobility promotes synchronization for an attractive coupling, whereas it destroys coherence for a repulsive coupling. The transition behaviors are discussed in terms of the timescales of synchronization and diffusion of the oscillators. We also find a novel spatiotemporal pattern at the border between coherent and incoherent states.
AB - Nonlocally coupled oscillators with a phase lag self-organize into various patterns, such as global synchronization, the twisted state, and the chimera state. In this paper, we consider nonlocally coupled oscillators that move on a ring by randomly exchanging their positions with the neighbors and investigate the combined effects of phase lag and mobility on the collective phase dynamics. Spanning the whole range of phase lag and mobility, we show that mobility promotes synchronization for an attractive coupling, whereas it destroys coherence for a repulsive coupling. The transition behaviors are discussed in terms of the timescales of synchronization and diffusion of the oscillators. We also find a novel spatiotemporal pattern at the border between coherent and incoherent states.
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U2 - 10.1103/PhysRevE.106.054210
DO - 10.1103/PhysRevE.106.054210
M3 - Article
C2 - 36559432
AN - SCOPUS:85142810947
SN - 2470-0045
VL - 106
JO - Physical Review E
JF - Physical Review E
IS - 5
M1 - 054210
ER -