Synchronization and oscillator death in oscillatory media with stirring

Abstract

The effect of stirring in an inhomogeneous oscillatory medium is investigated. We show that the stirring rate can control the macroscopic behavior of the system producing collective oscillations (synchronization) or complete quenching of the oscillations (oscillator death). We interpret the homogenization rate due to mixing as a measure of global coupling and compare the phase diagrams of stirred oscillatory media and of populations of globally coupled oscillators.

arXiv commentto appear in Phys. Rev. Lett

References in corpus (3)

• The sound of many hands clapping
• The Decay of Passive Scalars Under the Action of Single Scale Smooth Velocity Fields in Bounded 2D Domains : From non self similar pdf's to self similar eigenmodes
• Coherent regimes of globally coupled dynamical systems

Cited by in corpus (6)

• Amplitude Death: The emergence of stationarity in coupled nonlinear systems
• How turbulence regulates biodiversity in systems with cyclic competition
• Propagation of travelling waves in sub-excitable systems driven by noise and periodic forcing
• Amplitude death of coupled hair bundles with stochastic channel noise
• Effects of microscopic disorder on the collective dynamics of globally coupled maps
• Chaos induced coherence in two independent food chains