کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8256179 | 1533946 | 2018 | 32 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Data assimilation using noisy time-averaged measurements
ترجمه فارسی عنوان
به دست آوردن داده ها با استفاده از اندازه گیری های میانگین در زمان های پر سر و صدا
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کلمات کلیدی
تسریع داده ها، پر سر و صدا، تاری در زمان، لورنز،
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
چکیده انگلیسی
We study the synchronization of chaotic systems when the coupling between them contains both time averages and stochastic noise. Our model dynamics - inspired by the partial differential equations which govern the atmosphere - are given by the Lorenz equations which are a system of three ordinary differential equations in the variables X, Y and Z. Our theoretical results show that coupling two copies of the Lorenz equations using a feedback control which consists of time averages of the X variable leads to exact synchronization provided the time-averaging window is known and sufficiently small. In the presence of noise the convergence is to within a factor of the variance of the noise. We also consider the case when the time-averaging window is not known and show that it is possible to tune the feedback control to recover the size of the time-averaging window. Further numerical computations show that synchronization is more accurate and occurs under much less stringent conditions than our theory requires.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica D: Nonlinear Phenomena - Volumes 376â377, 1 August 2018, Pages 49-59
Journal: Physica D: Nonlinear Phenomena - Volumes 376â377, 1 August 2018, Pages 49-59
نویسندگان
Jordan Blocher, Vincent R. Martinez, Eric Olson,