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|Title: ||Noise-induced state transitions, intermittency, and universality in the noisy Kuramoto-Sivashinksy [sic] equation|
|Authors: ||Pradas, Marc|
Papageorgiou, Demetrios T.
Pavliotis, Grigorios A.
|Issue Date: ||2011|
|Publisher: ||© American Physical Society|
|Citation: ||PRADAS, M. ... (et al.), 2011. Noise-induced state transitions, intermittency, and universality in the noisy Kuramoto-Sivashinksy [sic] equation. Physical Review Letters, 106 (6), 060602.|
|Abstract: ||[We] consider the effect of pure additive noise on the long-time dynamics of the noisy Kuramoto-
Sivashinsky (KS) equation close to the instability onset. When the noise acts only on the first stable
mode (highly degenerate), the KS solution undergoes several state transitions, including critical on-off
intermittency and stabilized states, as the noise strength increases. Similar results are obtained with the
Burgers equation. Such noise-induced transitions are completely characterized through critical exponents,
obtaining the same universality class for both equations, and rigorously explained using multiscale
|Sponsor: ||We acknowledge financial support from EU-FP7 ITN
Multiflow. D.T.P. was partly supported by NSF Grant
|Publisher Link: ||http://dx.doi.org/10.1103/PhysRevLett.106.060602|
|Appears in Collections:||Published Articles (Maths)|
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