کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
10527194 958732 2014 30 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Phase reduction in the noise induced escape problem for systems close to reversibility
ترجمه فارسی عنوان
کاهش فاز در فرکانس ناشی از نویز برای سیستم های نزدیک به برگشت پذیر
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
چکیده انگلیسی
We consider n-dimensional deterministic flows obtained by perturbing a gradient flow. We assume that the gradient flow admits a stable curve of stationary points, and thus if the perturbation is not too large the perturbed flow also admits an attracting curve. We show that the noise induced escape problem from a stable fixed point of this curve can be reduced to a one-dimensional problem: we can approximate the associated quasipotential by the one associated to the restricted dynamics on the stable curve. The error of this approximation is given in terms of the size of the perturbation.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Stochastic Processes and their Applications - Volume 124, Issue 10, October 2014, Pages 3312-3341
نویسندگان
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