Predictability of Chaotic Dynamics: A Finite-time Lyapunov Exponents Approach by

Description: Predictability of Chaotic Dynamics by Juan C. Vallejo, Miguel A.F. Sanjuan 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. FORMAT Paperback LANGUAGE English CONDITION Brand New Publisher Description 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. Back Cover 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, H Author Biography 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 Preface.- Forecasting and Chaos.- Lyapunov Exponents.- Dynamical Regimes and Timescales.- Predictability.- Numerical Calculation of Lyapunov Exponents. Feature Authored by leading researchers in the field Self-contained introduction and presentation Includes a number of worked-out examples Details ISBN3319847716 Author Miguel A.F. Sanjuan Pages 136 Publisher Springer International Publishing AG Series Springer Series in Synergetics Year 2018 ISBN-10 3319847716 ISBN-13 9783319847719 Format Paperback Publication Date 2018-05-08 Imprint Springer International Publishing AG Subtitle A Finite-time Lyapunov Exponents Approach Place of Publication Cham Country of Publication Switzerland DEWEY 500.5 Short Title Predictability of Chaotic Dynamics Language English UK Release Date 2018-05-08 Edition Description Softcover reprint of the original 1st ed. 2017 Alternative 9783319518923 Audience Professional & Vocational Illustrations 22 Illustrations, color; 25 Illustrations, black and white; XV, 136 p. 47 illus., 22 illus. in color. We've got this At The Nile, if you're looking for it, we've got it. 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