کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
758557 1462607 2016 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Semi-analytical expression of stochastic closed curve attractors in nonlinear dynamical systems under weak noise
ترجمه فارسی عنوان
بیان نیمه تحلیلی جذب های منحنی بسته تصادفی در سیستم های دینامیکی غیرخطی تحت نویز ضعیف
کلمات کلیدی
جذب اتفاقی تابع چگالی احتمال، عملکرد حساسیت تصادفی، جذب منحنی بسته
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
چکیده انگلیسی


• Distribution of stochastic closed curve attractor is decomposed into two low-dimensional distributions.
• Distribution of stochastic quasi-periodic closed curve attractor is determined by rational approximation method.
• A simple but accurate semi-analytical method to approximate stochastic closed curve attractors is proposed.

In this paper, a simple but accurate semi-analytical method to approximate probability density function of stochastic closed curve attractors is proposed. The expression of distribution applies to systems with strong nonlinearities, while only weak noise condition is needed. With the understanding that additive noise does not change the longitudinal distribution of the attractors, the high-dimensional probability density distribution is decomposed into two low-dimensional distributions: the longitudinal and the transverse probability density distributions. The longitudinal distribution can be calculated from the deterministic systems, while the probability density in the transverse direction of the curve can be approximated by the stochastic sensitivity function method. The effectiveness of this approach is verified by comparing the expression of distribution with the results of Monte Carlo numerical simulations in several planar systems.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 38, September 2016, Pages 91–101
نویسندگان
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