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Springer Series in Synergetics

Predictability of Chaotic Dynamics

A Finite-time Lyapunov Exponents Approach

Authors: Vallejo, Juan C., Sanjuan, Miguel A. F.

  • Authored by leading researchers in the fieldSelf-contained introduction and presentationIncludes a number of worked-out examples

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eBook 67,82 €
price for Spain (gross)
  • ISBN 978-3-319-51893-0
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 83,19 €
price for Spain (gross)
  • ISBN 978-3-319-51892-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 83,19 €
price for Spain (gross)
  • ISBN 978-3-319-84771-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

This book is primarily concerned with the computational aspects of predictability of dynamical systems – in particular those where observation, modeling and computation are strongly interdependent. Unlike with physical systems under control in laboratories, for instance in celestial mechanics, one is confronted with the observation and modeling of systems without the possibility of altering the key parameters of the objects studied. Therefore, the numerical simulations offer an essential tool for analyzing these systems.

With the widespread use of computer simulations to solve complex dynamical systems, the reliability of the numerical calculations is of ever-increasing interest and importance. This reliability is directly related to the regularity and instability properties of the modeled flow. In this interdisciplinary scenario, the underlying physics provide the simulated models, nonlinear dynamics provides their chaoticity and instability properties, and the computer sciences provide the actual numerical implementation.

This book introduces and explores precisely this link between the models and their predictability characterization based on concepts derived from the field of nonlinear dynamics, with a focus on the finite-time Lyapunov exponents approach. The method is illustrated using a number of well-known continuous dynamical systems, including the Contopoulos, Hénon-Heiles and Rössler systems. To help students and newcomers quickly learn to apply these techniques, the appendix provides descriptions of the algorithms used throughout the text and details how to implement them in order to solve a given continuous dynamical system.

About the authors

Miguel Sanjuan is full professor of physics at the Universidad Rey Juan Carlos in Madrid, Spain, where he founded the Physics Department in 2006. He is a corresponding member of the Spanish Royal Academy of Sciences, section physics and chemistry, and a foreign member of the Lithuanian Academy of Sciences in the areas of physics and mechanical engineering. Prof. Sanjuan is presently the head of the Nonlinear Dynamics, Chaos and Complex Systems Research Group at the Universidad Rey Juan Carlos.He has published the monograph Nonlinear Resonances (Springer,2015). 
Juan C. Vallejo is an astrophysicist working as BepiColombo SGS Software Development Team Leader for the GMV enterprise group at the European Space Astronomy Centre in Madrid. At the same time he collaborates with the Nonlinear Dynamics, Chaos and Complex Systems Group, Departamento de Fisica, Universidad Rey Juan Carlos.

Table of contents (5 chapters)

  • Forecasting and Chaos

    Vallejo, Juan C. (et al.)

    Pages 1-24

    Preview Buy Chapter 30,19 €
  • Lyapunov Exponents

    Vallejo, Juan C. (et al.)

    Pages 25-59

    Preview Buy Chapter 30,19 €
  • Dynamical Regimes and Time Scales

    Vallejo, Juan C. (et al.)

    Pages 61-89

    Preview Buy Chapter 30,19 €
  • Predictability

    Vallejo, Juan C. (et al.)

    Pages 91-127

    Preview Buy Chapter 30,19 €
  • Erratum to: Predictability of Chaotic Dynamics: A Finite-time Lyapunov Exponents Approach

    Vallejo, Juan C. (et al.)

    Pages E1-E1

Buy this book

eBook 67,82 €
price for Spain (gross)
  • ISBN 978-3-319-51893-0
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 83,19 €
price for Spain (gross)
  • ISBN 978-3-319-51892-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 83,19 €
price for Spain (gross)
  • ISBN 978-3-319-84771-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Predictability of Chaotic Dynamics
Book Subtitle
A Finite-time Lyapunov Exponents Approach
Authors
Series Title
Springer Series in Synergetics
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-51893-0
DOI
10.1007/978-3-319-51893-0
Hardcover ISBN
978-3-319-51892-3
Softcover ISBN
978-3-319-84771-9
Series ISSN
0172-7389
Edition Number
1
Number of Pages
XV, 136
Number of Illustrations
25 b/w illustrations, 22 illustrations in colour
Topics