Dresden 2006 – wissenschaftliches Programm
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DY: Dynamik und Statistische Physik
DY 46: Poster
DY 46.28: Poster
Donnerstag, 30. März 2006, 16:00–18:00, P1
Statistical analysis of noise-driven coupled nonlinear oscillators with Kerr-type nonlinearity — •Stanislav Derevyanko1 and Jaroslaw Prilepskiy2 — 1Photonics Research Group, Aston University, Aston Triangle, Birmingham, UK — 2B.I. Verkin Institute for Low Temperature Physics and Technology, Kharkov, Ukraine
We present exact analytical results for the statistics of nonlinear coupled oscillators under the influence of additive white noise. We suggest a perturbative approach for analysing the statistics of such systems under the action of a determanistic perturbation, based on the exact expressions for probability density functions for noise-driven oscillators. Using our perturbation technique we show that our results can be applied to studying the optical signal propagation in noisy fibres at (nearly) zero dispersion as well as to weakly nonlinear lattice models with additive noise. The approach proposed can account for a wide spectrum of physically meaningful perturbations and is applicable to the case of large noise strength.