کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9877685 | 1534091 | 2005 | 21 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Statistics of noise-driven coupled nonlinear oscillators: Applications to systems with Kerr nonlinearity
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
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چکیده انگلیسی
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 deterministic 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.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica D: Nonlinear Phenomena - Volume 203, Issues 3â4, 15 April 2005, Pages 249-269
Journal: Physica D: Nonlinear Phenomena - Volume 203, Issues 3â4, 15 April 2005, Pages 249-269
نویسندگان
Jaroslaw E. Prilepsky, Stanislav A. Derevyanko,