Shifted feedback suppression of turbulent behavior in advection-diffusion systems.
In spatiotemporal systems with advection, suppression of noise-sustained structures involves questions that are outside of the framework of deterministic dynamical systems control (such as Ott-Grebogi-Yorke-type methods). Here we propose and test an alternate strategy where a nonlocal additive feedback is applied, with the objective to create a new deterministic solution that becomes robust to noise. As a remarkable fact-though the needed parameter perturbations required have essentially a finite size-they turn out to be extraordinarily small in principle: 10;{-8} in the free-electron laser experiment presented here.
Evain
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Laboratoire de Physique des Lasers, Atomes et Molécules, UMR CNRS 8523, Centre d'Etudes et de Recherches Lasers et Applications, FR CNRS 2416, Université des Sciences et Technologies de Lille, F-59655 Villeneuve d'Ascq Cedex, France.
Szwaj
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Bielawski
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Hosaka
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Mochihashi
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Katoh
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Couprie
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