Chaos Detection and Predictability

Nonfiction, Science & Nature, Science, Physics, Chaotic Behavior, Mathematical Physics, Mathematics
Cover of the book Chaos Detection and Predictability by , Springer Berlin Heidelberg
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: ISBN: 9783662484104
Publisher: Springer Berlin Heidelberg Publication: March 4, 2016
Imprint: Springer Language: English
Author:
ISBN: 9783662484104
Publisher: Springer Berlin Heidelberg
Publication: March 4, 2016
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer Berlin Heidelberg

Cover of the book Boolean Functions and Their Applications in Cryptography by
Cover of the book Fiber-Optic Transmission Networks by
Cover of the book Betriebsplanung im öffentlichen Personennahverkehr by
Cover of the book Surface Science Techniques by
Cover of the book Adjuvant Therapy of Primary Breast Cancer by
Cover of the book Mathematik für Wirtschaftswissenschaftler by
Cover of the book Radiology Illustrated: Pediatric Radiology by
Cover of the book Advances in Real-Time Systems by
Cover of the book Logic, Language, Information, and Computation by
Cover of the book Tubulin-Binding Agents by
Cover of the book Ambient Assisted Living by
Cover of the book Olivocerebellar Projection by
Cover of the book Metallopharmaceuticals I by
Cover of the book Quintessenz der Vertrauensbildung by
Cover of the book Advanced In-Flight Measurement Techniques by
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy