Collective phase synchronization in locally coupled limit-cycle oscillators.
We study collective behavior of locally coupled limit-cycle oscillators with scattered intrinsic frequencies on d -dimensional lattices. A linear analysis shows that the system should always be desynchronized up to d=4 . On the other hand, numerical investigation for d=5 and d=6 reveals the emergence of the synchronized (ordered) phase via a continuous transition from the fully random desynchronized phase. This demonstrates that the lower critical dimension for the phase synchronization in this system is d(l) =4 .
Hong
H
H
Department of Physics, Chonbuk National University, Jeonju 561-756, Korea.
Park
Hyunggyu
H
Choi
M Y
MY