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Prediction of the Stochastic Behaviour of Nonlinear Systems by Deterministic Models as a Classical Time-passage Probabilistic Problem : Volume 1, Issue 4 (30/11/-0001)

By Ivanov, L. M.

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Book Id: WPLBN0004019511
Format Type: PDF Article :
File Size: Pages 10
Reproduction Date: 2015

Title: Prediction of the Stochastic Behaviour of Nonlinear Systems by Deterministic Models as a Classical Time-passage Probabilistic Problem : Volume 1, Issue 4 (30/11/-0001)  
Author: Ivanov, L. M.
Volume: Vol. 1, Issue 4
Language: English
Subject: Science, Nonlinear, Processes
Collections: Periodicals: Journal and Magazine Collection (Contemporary), Copernicus GmbH
Historic
Publication Date:
-0001
Publisher: Copernicus Gmbh, Göttingen, Germany
Member Page: Copernicus Publications

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Kirwan, Jr, A. D., Melnichenko, O. V., & Ivanov, L. M. (-0001). Prediction of the Stochastic Behaviour of Nonlinear Systems by Deterministic Models as a Classical Time-passage Probabilistic Problem : Volume 1, Issue 4 (30/11/-0001). Retrieved from http://hawaiilibrary.net/


Description
Description: Marine Hydrophysical Institute of the Ukranian Academy of Sciences, Sevastopol, Ukraine. Assuming that the behaviour of a nonlinear stochastic system can be described by a Markovian diffusion approximation and that the evolution equations can be reduced to a system of ordinary differential equations, a method for the calculation of prediction time is developed. In this approach, the prediction time depends upon the accuracy of prediction, the intensity of turbulence, the accuracy of the initial conditions, the physics contained in the mathematical model, the measurement errors, and the number of prediction variables. A numerical application to zonal channel flow illustrates the theory. Some possible generalizations of the theory are also discussed.

Summary
Prediction of the stochastic behaviour of nonlinear systems by deterministic models as a classical time-passage probabilistic problem

 

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