Noise-induced synchronization of oscillatory convection and its optimization

Abstract

We investigate common-noise-induced phase synchronization between uncoupled identical Hele-Shaw cells exhibiting oscillatory convection. Using the phase description method for oscillatory convection, we demonstrate that the uncoupled systems of oscillatory Hele-Shaw convection can exhibit in-phase synchronization when driven by weak common noise. We derive the Lyapunov exponent determining the relaxation time for the synchronization, and develop a method for obtaining the optimal spatial pattern of the common noise to achieve synchronization. The theoretical results are confirmed by direct numerical simulations.

22 pages, 10 figures. Applies the phase description method developed in arXiv:1110.1128

References in corpus (5)

• Noise-Induced Synchronization and Clustering in Ensembles of Uncoupled Limit-Cycle Oscillators
• Phase reduction of stochastic limit cycle oscillators
• Collective Phase Sensitivity
• Phase synchronization between collective rhythms of globally coupled oscillator groups: noisy identical case
• Colored noise induces synchronization of limit cycle oscillators

Cited by in corpus (8)

• Phase reduction approach to synchronization of spatiotemporal rhythms in reaction-diffusion systems
• Criterion of quantum synchronization and controllable quantum synchronization based on an optomechanical system
• Phase description of oscillatory convection with a spatially translational mode
• Optimizing mutual synchronization of rhythmic spatiotemporal patterns in reaction-diffusion systems
• Adjoint-based phase reduction analysis of incompressible periodic flows
• Setting of the Poincaré section for accurately calculating the phase of rhythmic spatiotemporal dynamics
• Phase reduction analysis of traveling breathers in reaction--diffusion systems
• Phase reduction of reaction-diffusion systems with delay