title: Synchronization and phase redistribution in self-replicating populations of coupled oscillators and excitable elements.
abstract: We study the dynamics of phase synchronization in growing populations of discrete phase oscillatory systems when the division process is coupled to the distribution of oscillator phases. Using mean-field theory, linear-stability analysis, and numerical simulations, we demonstrate that coupling between population growth and synchrony can lead to a wide range of dynamical behavior, including extinction of synchronized oscillations, the emergence of asynchronous states with unequal state (phase) distributions, bistability between oscillatory and asynchronous states or between two asynchronous states, a switch between continuous (supercritical) and discontinuous (subcritical) transitions, and modulation of the frequency of bulk oscillations.
authors.affiliation: Department of Physics, University of Michigan, Ann Arbor, Michigan 48109, USA.
authors.forename: Wen
authors.initials: W
authors.lastname: Yu
authors.affiliation: Department of Physics, University of Michigan, Ann Arbor, Michigan 48109, USA.|Department of Biophysics, University of Michigan, Ann Arbor, Michigan 48109, USA.
authors.forename: Kevin B
authors.initials: KB
authors.lastname: Wood
mesh_terms: D016014:Linear Models; D008962:Models, Theoretical; D011158:Population Growth