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.

15 pages, 13 figures

References in corpus (4)

• An allosteric model of KaiC phosphorylation
• Critical behavior and synchronization of discrete stochastic phase coupled oscillators
• Continuous and discontinuous phase transitions and partial synchronization in stochastic three-state oscillators
• Arrays of stochastic oscillators: Nonlocal coupling, clustering, and wave formation

Cited by in corpus (1)

• Synchronization of coupled noisy oscillators: Coarse-graining from continuous to discrete phases