東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Chaos detection and predictability

Skokos, Charalampos Haris.

Linked to FindBook

Google Book

Amazon

博客來

Chaos detection and predictability

Record Type:	Electronic resources : Monograph/item
Title/Author:	Chaos detection and predictability/ edited 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.
[NT 15003449]:	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.
Contained By:	Springer eBooks
Subject:	Lyapunov exponents. -
Online resource:	http://dx.doi.org/10.1007/978-3-662-48410-4
ISBN:	9783662484104

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 ;715..

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

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

928229
Lyapunov exponents.

LC Class. No.: QA372

Dewey Class. No.: 515.35

Chaos detection and predictability
LDR:02990nmm m2200337 m 4500 001 2032889
003 DE-He213
005 20160923102005.0
006 m d
007 cr nn 008maaau
008 161011s2016 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 928229
650 0 $a Chaotic behavior in systems. $3 524350
650 1 4 $a Physics. $3 516296
650 2 4 $a Nonlinear Dynamics. $3 608190
650 2 4 $a Mathematical Methods in Physics. $3 890898
650 2 4 $a Mathematical Applications in the Physical Sciences. $3 1566152
650 2 4 $a Extraterrestrial Physics, Space Sciences. $3 890824
650 2 4 $a Earth System Sciences. $3 1566948
700 1 $a Skokos, Charalampos Haris. $3 2187100
700 1 $a Gottwald, Georg A. $3 2187101
700 1 $a Laskar, Jacques. $3 2187102
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Lecture notes in physics ; $v 715. $x 1616-6361 $3 1314286
856 4 0 $u http://dx.doi.org/10.1007/978-3-662-48410-4
950 $a Physics and Astronomy (Springer-11651)