Studies in chaos using stochastic methods

Methods of chaos have been used to classify many heretofore inexplicable nonlinear dynamical systems in fields as diverse as ecology to engineering and economics to meteorology. This thesis presents the mathematical background needed to understand chaos as well as the engineering techniques used to...

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Bibliographic Details
Main Author:	Healy, Edward A.
Other Authors:	Kolar, Ramesh
Language:	en_US
Published:	Monterey, California. Naval Postgraduate School 2013
Online Access:	http://hdl.handle.net/10945/26793

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spelling	ndltd-nps.edu-oai-calhoun.nps.edu-10945-267932014-11-27T16:16:32Z Studies in chaos using stochastic methods Healy, Edward A. Kolar, Ramesh NA NA NA Aeronautical Engineering Methods of chaos have been used to classify many heretofore inexplicable nonlinear dynamical systems in fields as diverse as ecology to engineering and economics to meteorology. This thesis presents the mathematical background needed to understand chaos as well as the engineering techniques used to study the nature of dynamical systems. Several dynamical systems are studied using two probabilistic measures of chaos, fractal correlation dimension and the multivariate scaling analysis. A new technique for developing a multivariate scaling analysis using a time embedding procedure is presented. The dynamical systems studied include the Lorenz equations, Duffing's equation and helicopter flight vibrations 2013-01-23T22:05:49Z 2013-01-23T22:05:49Z 1991 Thesis http://hdl.handle.net/10945/26793 o227777858 en_US Monterey, California. Naval Postgraduate School
collection	NDLTD
language	en_US
sources	NDLTD
description	Methods of chaos have been used to classify many heretofore inexplicable nonlinear dynamical systems in fields as diverse as ecology to engineering and economics to meteorology. This thesis presents the mathematical background needed to understand chaos as well as the engineering techniques used to study the nature of dynamical systems. Several dynamical systems are studied using two probabilistic measures of chaos, fractal correlation dimension and the multivariate scaling analysis. A new technique for developing a multivariate scaling analysis using a time embedding procedure is presented. The dynamical systems studied include the Lorenz equations, Duffing's equation and helicopter flight vibrations
author2	Kolar, Ramesh
author_facet	Kolar, Ramesh Healy, Edward A.
author	Healy, Edward A.
spellingShingle	Healy, Edward A. Studies in chaos using stochastic methods
author_sort	Healy, Edward A.
title	Studies in chaos using stochastic methods
title_short	Studies in chaos using stochastic methods
title_full	Studies in chaos using stochastic methods
title_fullStr	Studies in chaos using stochastic methods
title_full_unstemmed	Studies in chaos using stochastic methods
title_sort	studies in chaos using stochastic methods
publisher	Monterey, California. Naval Postgraduate School
publishDate	2013
url	http://hdl.handle.net/10945/26793
work_keys_str_mv	AT healyedwarda studiesinchaosusingstochasticmethods
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Studies in chaos using stochastic methods

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