Predictability of noise-controlled dynamics

Citation
Gd. Lythe et Mre. Proctor, Predictability of noise-controlled dynamics, PHYSICA D, 133(1-4), 1999, pp. 362-370
Citations number
23
Categorie Soggetti
Physics
Journal title
PHYSICA D
ISSN journal
01672789 → ACNP
Volume
133
Issue
1-4
Year of publication
1999
Pages
362 - 370
Database
ISI
SICI code
0167-2789(19990910)133:1-4<362:POND>2.0.ZU;2-M
Abstract
Noise-controlled dynamics runs counter to usual intuition: the larger the n oise the more regular the solutions. We present numerical and analytical re sults for a set of three stochastic partial differential equations in one s pace dimension, motivated by the intermittent destabilization of tall thin convection cells by horizontal shear. Time-series are predictable in the se nse that they follow Limit cycles with a small variation in amplitude from cycle to cycle. Closer inspection reveals that the amplitude is determined by very small amounts of noise. (C) 1999 Elsevier Science B.V. All rights r eserved.