Chaos and Its Reconstruction

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The editors (of the Universitè et Institut National des Sciences Appliquèes de Rouen, France) present six chapters exploring the application of chaos theory to such topics as the topological characterization of attractors and the reconstruction of equations of motion from data. Specific topics include the development of a method of modeling called NARMAX (nonlinear autoregressive moving average models with exogenous outputs), a summary of the work of the Center of Applied Dynamics and Optimization at the U. of ...
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Overview

The editors (of the Universitè et Institut National des Sciences Appliquèes de Rouen, France) present six chapters exploring the application of chaos theory to such topics as the topological characterization of attractors and the reconstruction of equations of motion from data. Specific topics include the development of a method of modeling called NARMAX (nonlinear autoregressive moving average models with exogenous outputs), a summary of the work of the Center of Applied Dynamics and Optimization at the U. of Western Australia), time delayed feedback systems, and global modeling applications to biological data and secure communication. Annotation ©2004 Book News, Inc., Portland, OR
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Product Details

  • ISBN-13: 9781590338056
  • Publisher: Nova Science Publishers, Incorporated
  • Publication date: 8/28/2003
  • Pages: 320

Table of Contents

Preface
Global Reconstructions of Equations of Motion from Data Series, and Validation Techniques, A Review 1
Modelling Nonlinear Dynamical Systems From Data Using NARMAX Polynomial Models 161
Building Optimal Models of Time Series 179
Construction of Dynamical Model Equations for Nonautonomous Systems from Time Series (Peculiarities and Special Techniques) 215
Identification of Chaotic Systems from Experimental Data 245
Global Reconstruction: Application to Biological Data and Secure Communication 287
Index 319
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