Synchronization dynamics in the presence of coupling delays and phase shifts.
In systems of coupled oscillators, the effects of complex signaling can be captured by time delays and phase shifts. Here, we show how time delays and phase shifts lead to different oscillator dynamics and how synchronization rates can be regulated by substituting time delays by phase shifts at a constant collective frequency. For spatially extended systems with time delays, we show that the fastest synchronization can occur for intermediate wavelengths, giving rise to novel synchronization scenarios.
Max Planck Institute for the Physics of Complex Systems, Nöthnitzer Straße 38, 01187 Dresden, Germany.
David J
DJ
Jörg
Departamento de Física, FCEyN UBA and IFIBA, Conicet; Pabellón 1, Ciudad Universitaria, 1428 Buenos Aires, Argentina.
Luis G
LG
Morelli
Grupo Interdisciplinar de Sistemas Complejos (GISC) and Logic of Genomic Systems Laboratory, Centro Nacional de Biotecnología-CSIC, Calle Darwin 3, 28049 Madrid, Spain.
Saúl
S
Ares
Max Planck Institute for the Physics of Complex Systems, Nöthnitzer Straße 38, 01187 Dresden, Germany.
Frank
F
Jülicher
D008962:Models, Theoretical; D044367:Phase Transition; D015398:Signal Transduction