Extracting Knowledge From Time Series An Introduction to Nonlinear Empirical Modeling /

This book addresses the fundamental question of how to construct mathematical models for the evolution of dynamical systems from experimentally-obtained time series. It places emphasis on chaotic signals and nonlinear modeling and discusses different approaches to the forecast of future system evolu...

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Bibliographic Details
Main Authors: Bezruchko, Boris P. (Author), Smirnov, Dmitry A. (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2010.
Series:Springer Series in Synergetics,
Subjects:
Online Access:https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-642-12601-7
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245 1 0 |a Extracting Knowledge From Time Series  |b An Introduction to Nonlinear Empirical Modeling /  |c by Boris P. Bezruchko, Dmitry A. Smirnov.  |h [electronic resource] : 
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505 0 # |a Preface -- Introduction -- The Concept of Model. What is Remarkable in Mathematical Models -- Two Approaches to Modelling and Forecast -- Dynamical (Deterministic) Models of Evolution -- Stochastic Models of Evolution -- Problem Posing in Modelling From Data Series -- Data Series as a Source for Modelling -- Restoration of Explicit Temporal Dependencies -- Moedel Equations: Parameter Estimation -- Model Equations: Restoration of Equivalent Characteristics -- Model Equations: "Black Box" Reconstruction -- Practical Applications of Empirical Modelling -- Identification of Directional Couplings -- Outdoor Examples -- Summary and Outlook -- List of Mathematical Symbols -- List of Real-World Examples -- Bibliography. 
520 # # |a This book addresses the fundamental question of how to construct mathematical models for the evolution of dynamical systems from experimentally-obtained time series. It places emphasis on chaotic signals and nonlinear modeling and discusses different approaches to the forecast of future system evolution. In particular, it teaches readers how to construct difference and differential model equations depending on the amount of a priori information that is available on the system in addition to the experimental data sets. This book will benefit graduate students and researchers from all natural sciences who seek a self-contained and thorough introduction to this subject. 
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