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arXiv · 1401.4223

Noise-induced synchronization of oscillatory convection and its optimization

Yoji Kawamura·Hiroya Nakao
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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.

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Yoji Kawamura, Hiroya Nakao. 2014-01-17. Noise-induced synchronization of oscillatory convection and its optimization. https://doi.org/10.1103/physreve.89.012912

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