TY  - JOUR
A1  - Gong, Chen Chris
A1  - Tönjes, Ralf
A1  - Pikovsky, Arkady
T1  - Coupled Möbius maps as a tool to model Kuramoto phase synchronization
JF  - Physical review : E, Statistical, nonlinear and soft matter physics
N2  - We propose Mobius maps as a tool to model synchronization phenomena in coupled phase oscillators. Not only does the map provide fast computation of phase synchronization, it also reflects the underlying group structure of the sinusoidally coupled continuous phase dynamics. We study map versions of various known continuous-time collective dynamics, such as the synchronization transition in the Kuramoto-Sakaguchi model of nonidentical oscillators, chimeras in two coupled populations of identical phase oscillators, and Kuramoto-Battogtokh chimeras on a ring, and demonstrate similarities and differences between the iterated map models and their known continuous-time counterparts.
Y1  - 2020
U6  - https://doi.org/10.1103/PhysRevE.102.022206
SN  - 2470-0045
SN  - 2470-0053
SN  - 1063-651X
SN  - 2470-0061
SN  - 1550-2376
VL  - 102
IS  - 2
PB  - American Physical Society
CY  - College Park
ER  -