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Download the fantastic book titled Predictability of Chaotic Dynamics written by Juan C. Vallejo, available in its entirety in both PDF and EPUB formats for online reading. This page includes a concise summary, a preview of the book cover, and detailed information about "Predictability of Chaotic Dynamics", which was released on 25 October 2019. We suggest perusing the summary before initiating your download. This book is a top selection for enthusiasts of the Science genre.

Summary of Predictability of Chaotic Dynamics by Juan C. Vallejo PDF

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.


Detail About Predictability of Chaotic Dynamics PDF

  • Author : Juan C. Vallejo
  • Publisher : Springer Nature
  • Genre : Science
  • Total Pages : 196 pages
  • ISBN : 3030286304
  • PDF File Size : 19,9 Mb
  • Language : English
  • Rating : 4/5 from 21 reviews

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Predictability of Chaotic Dynamics

Predictability of Chaotic Dynamics
  • Publisher : Springer Nature
  • File Size : 27,5 Mb
  • Release Date : 25 October 2019
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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

Chaos Detection and Predictability

Chaos Detection and Predictability
  • Publisher : Springer
  • File Size : 41,7 Mb
  • Release Date : 04 March 2016
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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

Deep Learning in Multi-step Prediction of Chaotic Dynamics

Deep Learning in Multi-step Prediction of Chaotic Dynamics
  • Publisher : Springer Nature
  • File Size : 26,6 Mb
  • Release Date : 14 February 2022
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The book represents the first attempt to systematically deal with the use of deep neural networks to forecast chaotic time series. Differently from most of the current literature, it implements

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Predictability, Stability, and Chaos in N-Body Dynamical Systems
  • Publisher : Springer Science & Business Media
  • File Size : 32,7 Mb
  • Release Date : 06 December 2012
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The reader will find in this volume the Proceedings of the NATO Advanced Study Institute held in Cortina d'Ampezzo, Italy between August 6 and August 17, 1990 under the title "Predictability, Stability, and

Chaos and Forecasting

Chaos and Forecasting
  • Publisher : World Scientific
  • File Size : 39,5 Mb
  • Release Date : 26 April 1995
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It is now generally recognised that very simple dynamical systems can produce apparently random behaviour. In the last couple of years, attention has turned to focus on the flip side

Nonlinear Dynamics and Statistics

Nonlinear Dynamics and Statistics
  • Publisher : Springer Science & Business Media
  • File Size : 54,6 Mb
  • Release Date : 06 December 2012
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This book describes the state of the art in nonlinear dynamical reconstruction theory. The chapters are based upon a workshop held at the Isaac Newton Institute, Cambridge University, UK, in

Chaotic Dynamics

Chaotic Dynamics
  • Publisher : Cambridge University Press
  • File Size : 48,8 Mb
  • Release Date : 24 June 1996
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The previous edition of this text was the first to provide a quantitative introduction to chaos and nonlinear dynamics at the undergraduate level. It was widely praised for the clarity

Coping with Chaos

Coping with Chaos
  • Publisher : Wiley-VCH
  • File Size : 25,8 Mb
  • Release Date : 27 September 1994
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The first unified presentation of new developments in the analysis and exploitation of chaotic systems... Mathematicians have been aware of chaotic dynamics since Poincar?'s work at the turn of

Chaos

Chaos
  • Publisher : World Scientific
  • File Size : 31,9 Mb
  • Release Date : 24 June 2024
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Chaos: from simple models to complex systems aims to guide science and engineering students through chaos and nonlinear dynamics from classical examples to the most recent fields of research. The

Chaotic Dynamics

Chaotic Dynamics
  • Publisher : Cambridge University Press
  • File Size : 37,9 Mb
  • Release Date : 24 August 2006
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A clear introduction to chaotic phenomena for undergraduate students in science, engineering, and mathematics.