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Predictability of chaotic dynamics =...

Vallejo, Juan C.

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Predictability of chaotic dynamics = a finite-time Lyapunov exponents approach /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Predictability of chaotic dynamics/ by Juan C. Vallejo, Miguel A.F. Sanjuan.
Reminder of title:	a finite-time Lyapunov exponents approach /
Author:	Vallejo, Juan C.
other author:	Sanjuan, Miguel A.F.
Published:	Cham :Springer International Publishing : : 2017.,
Description:	xiii, 136 p. :ill., digital ;24 cm.
[NT 15003449]:	Preface -- Forecasting and Chaos -- Lyapunov Exponents -- Dynamical Regimes and Timescales -- Predictability -- Numerical Calculation of Lyapunov Exponents.
Contained By:	Springer eBooks
Subject:	Chaotic behavior in systems - Mathematical models. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-51893-0
ISBN:	9783319518930

Predictability of chaotic dynamics = a finite-time Lyapunov exponents approach /
Vallejo, Juan C.

Predictability of chaotic dynamicsa finite-time Lyapunov exponents approach /[electronic resource] :by Juan C. Vallejo, Miguel A.F. Sanjuan. - Cham :Springer International Publishing :2017. - xiii, 136 p. :ill., digital ;24 cm. - Springer series in synergetics,0172-7389. - Springer series in synergetics..

Preface -- Forecasting and Chaos -- Lyapunov Exponents -- Dynamical Regimes and Timescales -- Predictability -- Numerical Calculation of Lyapunov Exponents.

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, Henon-Heiles and Rossler 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.

ISBN: 9783319518930

Standard No.: 10.1007/978-3-319-51893-0doiSubjects--Topical Terms:

858820
Chaotic behavior in systems
--Mathematical models.

LC Class. No.: Q172.5.C45

Dewey Class. No.: 003.857

Predictability of chaotic dynamics = a finite-time Lyapunov exponents approach /
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505 0 $a Preface -- Forecasting and Chaos -- Lyapunov Exponents -- Dynamical Regimes and Timescales -- Predictability -- Numerical Calculation of Lyapunov Exponents.
520 $a 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, Henon-Heiles and Rossler 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.
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