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Chaos detection and predictability

Gottwald, Georg A.

Chaos detection and predictability

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Chaos detection and predictabilityedited by Charalampos Haris Skokos, Georg A. Gottwald, Jacques Laskar.
其他作者:	Skokos, Charalampos Haris.
出版者:	Berlin, Heidelberg :Springer Berlin Heidelberg :2016.
面頁冊數:	ix, 269 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
標題:	Lyapunov exponents.
電子資源:	http://dx.doi.org/10.1007/978-3-662-48410-4
ISBN:	9783662484104$q(electronic bk.)

Chaos detection and predictability
Chaos detection and predictability[electronic resource] /edited by Charalampos Haris Skokos, Georg A. Gottwald, Jacques Laskar. - Berlin, Heidelberg :Springer Berlin Heidelberg :2016. - ix, 269 p. :ill. (some col.), digital ;24 cm. - Lecture notes in physics,v.9150075-8450 ;. - Lecture notes in physics ;650..

Estimating Lyapunov exponents from time series -- Theory and applications of the fast Lyapunov Indicator (FLI) method -- Theory and applications of the Orthogonal Fast Lyapunov Indicator (OFLI and OFLI2) methods -- Theory and applications of the Mean Exponential Growth factor of Nearby Orbits (MEGNO) method -- The Smaller (SALI) and the Generalized (GALI) Alignment Indices: Efficient Methods of Chaos Detection -- The Relative Lyapunov Indicators: Theory and Application to Dynamical Astronomy -- The 0-1 Test for Chaos: A review.

Distinguishing chaoticity from regularity in deterministic dynamical systems and specifying the subspace of the phase space in which instabilities are expected to occur is of utmost importance in as disparate areas as astronomy, particle physics and climate dynamics. To address these issues there exists a plethora of methods for chaos detection and predictability. The most commonly employed technique for investigating chaotic dynamics, i.e. the computation of Lyapunov exponents, however, may suffer a number of problems and drawbacks, for example when applied to noisy experimental data. In the last two decades, several novel methods have been developed for the fast and reliable determination of the regular or chaotic nature of orbits, aimed at overcoming the shortcomings of more traditional techniques. This set of lecture notes and tutorial reviews serves as an introduction to and overview of modern chaos detection and predictability techniques for graduate students and non-specialists. The book covers theoretical and computational aspects of traditional methods to calculate Lyapunov exponents, as well as of modern techniques like the Fast (FLI), the Orthogonal (OFLI) and the Relative (RLI) Lyapunov Indicators, the Mean Exponential Growth factor of Nearby Orbits (MEGNO), the Smaller (SALI) and the Generalized (GALI) Alignment Index and the '0-1' test for chaos.

ISBN: 9783662484104$q(electronic bk.)

Standard No.: 10.1007/978-3-662-48410-4doiSubjects--Topical Terms:

742215
Lyapunov exponents.

LC Class. No.: QA372

Dewey Class. No.: 515.35

Chaos detection and predictability
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520 $a Distinguishing chaoticity from regularity in deterministic dynamical systems and specifying the subspace of the phase space in which instabilities are expected to occur is of utmost importance in as disparate areas as astronomy, particle physics and climate dynamics. To address these issues there exists a plethora of methods for chaos detection and predictability. The most commonly employed technique for investigating chaotic dynamics, i.e. the computation of Lyapunov exponents, however, may suffer a number of problems and drawbacks, for example when applied to noisy experimental data. In the last two decades, several novel methods have been developed for the fast and reliable determination of the regular or chaotic nature of orbits, aimed at overcoming the shortcomings of more traditional techniques. This set of lecture notes and tutorial reviews serves as an introduction to and overview of modern chaos detection and predictability techniques for graduate students and non-specialists. The book covers theoretical and computational aspects of traditional methods to calculate Lyapunov exponents, as well as of modern techniques like the Fast (FLI), the Orthogonal (OFLI) and the Relative (RLI) Lyapunov Indicators, the Mean Exponential Growth factor of Nearby Orbits (MEGNO), the Smaller (SALI) and the Generalized (GALI) Alignment Index and the '0-1' test for chaos.
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