國立高雄大學圖資館 |

Language: English

Back

Chaos detection and predictability

Gottwald, Georg A.

Chaos detection and predictability

Record Type:	Electronic resources : Monograph/item
Title/Author:	Chaos detection and predictabilityedited by Charalampos Haris Skokos, Georg A. Gottwald, Jacques Laskar.
other author:	Skokos, Charalampos Haris.
Published:	Berlin, Heidelberg :Springer Berlin Heidelberg :2016.
Description:	ix, 269 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Lyapunov exponents.
Online resource:	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
LDR:02990nmm a2200337 a 4500 001 484217
003 DE-He213
005 20160923102005.0
006 m d
007 cr nn 008maaau
008 161012s2016 gw s 0 eng d
020 $a 9783662484104$q(electronic bk.)
020 $a 9783662484081$q(paper)
024 7 $a 10.1007/978-3-662-48410-4 $2 doi
035 $a 978-3-662-48410-4
040 $a GP $c GP
041 0 $a eng
050 4 $a QA372
072 7 $a PBWR $2 bicssc
072 7 $a PHDT $2 bicssc
072 7 $a SCI012000 $2 bisacsh
082 0 4 $a 515.35 $2 23
090 $a QA372 $b .C461 2016
245 0 0 $a Chaos detection and predictability $h [electronic resource] / $c edited by Charalampos Haris Skokos, Georg A. Gottwald, Jacques Laskar.
260 $a Berlin, Heidelberg : $b Springer Berlin Heidelberg : $b Imprint: Springer, $c 2016.
300 $a ix, 269 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Lecture notes in physics, $x 0075-8450 ; $v v.915
505 0 $a 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.
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.
650 0 $a Lyapunov exponents. $3 742215
650 0 $a Chaotic behavior in systems. $3 182904
650 1 4 $a Physics. $3 179414
650 2 4 $a Nonlinear Dynamics. $3 492213
650 2 4 $a Mathematical Methods in Physics. $3 273796
650 2 4 $a Mathematical Applications in the Physical Sciences. $3 522718
650 2 4 $a Extraterrestrial Physics, Space Sciences. $3 274037
650 2 4 $a Earth System Sciences. $3 559038
700 1 $a Skokos, Charalampos Haris. $3 742374
700 1 $a Gottwald, Georg A. $3 742375
700 1 $a Laskar, Jacques. $3 742376
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a Lecture notes in physics ; $v 650. $3 451204
856 4 0 $u http://dx.doi.org/10.1007/978-3-662-48410-4
950 $a Physics and Astronomy (Springer-11651)