title: Traveling wave in a three-dimensional array of conformist and contrarian oscillators.
abstract: We consider a system of conformist and contrarian oscillators coupled locally in a three-dimensional cubic lattice and explore collective behavior of the system. The conformist oscillators attractively interact with the neighbor oscillators and therefore tend to be aligned with the neighbors' phase. The contrarian oscillators interact repulsively with the neighbors and therefore tend to be out of phase with them. In this paper, we investigate whether many peculiar dynamics that have been observed in the mean-field system with global coupling can emerge even with local coupling. In particular, we pay attention to the possibility that a traveling wave may arise. We find that the traveling wave occurs due to coupling asymmetry and not by global coupling; this observation confirms that the global coupling is not essential to the occurrence of a traveling wave in the system. The traveling wave can be a mechanism for the coherent rhythm generation of the circadian clock or of hormone secretion in biological systems under local coupling.
authors: Asia Pacific Center for Theoretical Physics, Pohang, Korea.
authors: Danh-Tai
authors: DT
authors: Hoang
authors: Asia Pacific Center for Theoretical Physics, Pohang, Korea.|Department of Physics, POSTECH, Pohang, Korea.
authors: Junghyo
authors: J
authors: Jo
authors: Department of Physics and Research Institute of Physics and Chemistry, Chonbuk National University, Jeonju, Korea.
authors: Hyunsuk
authors: H
authors: Hong
mesh_terms: D002940:Circadian Rhythm; D006728:Hormones / Q000378:metabolism; D008954:Models, Biological; D008962:Models, Theoretical
chemical_list: D006728:Hormones