title: Collective phase synchronization in locally coupled limit-cycle oscillators.
abstract: 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 .
authors.affiliation: Department of Physics, Chonbuk National University, Jeonju 561-756, Korea.
authors.forename: H
authors.initials: H
authors.lastname: Hong
authors.forename: Hyunggyu
authors.initials: H
authors.lastname: Park
authors.forename: M Y
authors.initials: MY
authors.lastname: Choi