title: Predicting mutual entrainment of oscillators with experiment-based phase models.
abstract: We show that mutual entrainment in interacting oscillators can be characterized using phase models that are developed from direct experiments with a single oscillator. The models are used to predict order-disorder transitions in populations and the dependence of order on system parameters; the description is verified in independent experiments in sets of chemical oscillators. The experiment-based model properly describes in-phase and antiphase mutual entrainment with positive and negative interactions in small sets as well as dynamical clustering in populations of oscillators.
authors.affiliation: Department of Chemical Engineering, 102 Engineers' Way, University of Virginia, Charlottesville, Virginia 22904-4741, USA.
authors.forename: István Z
authors.initials: IZ
authors.lastname: Kiss
authors.forename: Yumei
authors.initials: Y
authors.lastname: Zhai
authors.forename: John L
authors.initials: JL
authors.lastname: Hudson
mesh_terms: D001683:Biological Clocks / Q000502:physiology*; D004563:Electrochemistry; D008954:Models, Biological