Borrow it
Coverart for item
The Resource Predictability of chaotic dynamics : a finite-time Lyapunov exponents approach, Juan C. Vallejo, Miguel A. F. Sanjuan

Predictability of chaotic dynamics : a finite-time Lyapunov exponents approach, Juan C. Vallejo, Miguel A. F. Sanjuan

Creator
Author
Contributor
Summary
This book is primarily concerned with the computational aspects of predictability of dynamical systems - in particular those where observations, modeling and computation are strongly interdependent. Unlike with physical systems under control in laboratories, in astronomy it is uncommon to have the possibility of altering the key parameters of the studied objects. Therefore, the numerical simulations offer an essential tool for analysing these systems, and their reliability is of ever-increasing interest and importance. 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 strong sensitivity to initial conditions and the use of Lyapunov exponents to characterize this sensitivity. This method is illustrated using several well-known continuous dynamical systems, such as the Contopoulos, Hénon-Heiles and Rössler systems. This second edition revises and significantly enlarges the material of the first edition by providing new entry points for discussing new predictability issues on a variety of areas such as machine decision-making, partial differential equations or the analysis of attractors and basins. Finally, the parts of the book devoted to the application of these ideas to astronomy have been greatly enlarged, by first presenting some basics aspects of predictability in astronomy and then by expanding these ideas to a detailed analysis of a galactic potential
Language
eng
Work
Publication
Edition
Second edition.
Extent
1 online resource
Contents
  • Preface
  • Forecasting and chaos
  • Lyapunov exponents
  • Dynamical regimes and timescales
  • Predictability
  • Chaos, predictability and astronomy
  • A detailed example: galactic dynamics
  • Appendix
Isbn
9783030286293
Instance
Label
Predictability of chaotic dynamics : a finite-time Lyapunov exponents approach
Title
Predictability of chaotic dynamics
Title remainder
a finite-time Lyapunov exponents approach
Statement of responsibility
Juan C. Vallejo, Miguel A. F. Sanjuan
Creator
Contributor
Author
Subject
Language
eng
Summary
This book is primarily concerned with the computational aspects of predictability of dynamical systems - in particular those where observations, modeling and computation are strongly interdependent. Unlike with physical systems under control in laboratories, in astronomy it is uncommon to have the possibility of altering the key parameters of the studied objects. Therefore, the numerical simulations offer an essential tool for analysing these systems, and their reliability is of ever-increasing interest and importance. 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 strong sensitivity to initial conditions and the use of Lyapunov exponents to characterize this sensitivity. This method is illustrated using several well-known continuous dynamical systems, such as the Contopoulos, Hénon-Heiles and Rössler systems. This second edition revises and significantly enlarges the material of the first edition by providing new entry points for discussing new predictability issues on a variety of areas such as machine decision-making, partial differential equations or the analysis of attractors and basins. Finally, the parts of the book devoted to the application of these ideas to astronomy have been greatly enlarged, by first presenting some basics aspects of predictability in astronomy and then by expanding these ideas to a detailed analysis of a galactic potential
Member of
Cataloging source
GW5XE
http://library.link/vocab/creatorName
Vallejo, Juan Camilo
Dewey number
003/.857
Illustrations
illustrations
Index
no index present
LC call number
Q172.5.C45
LC item number
V35 2019eb
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
Sanjuán, Miguel A. F.
Series statement
  • Springer complexity
  • Springer series in synergetics,
http://library.link/vocab/subjectName
Chaotic behavior in systems
Label
Predictability of chaotic dynamics : a finite-time Lyapunov exponents approach, Juan C. Vallejo, Miguel A. F. Sanjuan
Instantiates
Publication
Copyright
Antecedent source
unknown
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Preface -- Forecasting and chaos -- Lyapunov exponents -- Dynamical regimes and timescales -- Predictability -- Chaos, predictability and astronomy -- A detailed example: galactic dynamics -- Appendix
Dimensions
unknown
Edition
Second edition.
Extent
1 online resource
File format
unknown
Form of item
online
Isbn
9783030286293
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
  • 10.1007/978-3-030-28630-9
  • 10.1007/978-3-030-28
Other physical details
illustrations (some color).
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)1125944616
Label
Predictability of chaotic dynamics : a finite-time Lyapunov exponents approach, Juan C. Vallejo, Miguel A. F. Sanjuan
Publication
Copyright
Antecedent source
unknown
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Preface -- Forecasting and chaos -- Lyapunov exponents -- Dynamical regimes and timescales -- Predictability -- Chaos, predictability and astronomy -- A detailed example: galactic dynamics -- Appendix
Dimensions
unknown
Edition
Second edition.
Extent
1 online resource
File format
unknown
Form of item
online
Isbn
9783030286293
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
  • 10.1007/978-3-030-28630-9
  • 10.1007/978-3-030-28
Other physical details
illustrations (some color).
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)1125944616

Subject

Member of

Library Locations

Library Links

Structured data from the Bibframe namespace is licensed under the Creative Commons Attribution 4.0 International License by Sydney Jones Library, University of Liverpool. Additional terms may apply to data associated with third party namespaces.
Processing Feedback ...