Chaos and Its Reconstruction

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Gérard Gouesbet, S. Meunier-Guttin-Cluzel, O. Minard
Nova Science Publishers, Jan 1, 2003 - Technology & Engineering - 320 pages
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The editors (of the Universite et Institut National des Sciences Appliquees de Rouen, France) present six chapters exploring the application of chaos theory to such topics as the topological characterisation of attractors and the reconstruction of equations of motion from data. Specific topics include the development of a method of modelling called NARMAX (non-linear autoregressive moving average models with exogenous outputs), a summary of the work of the Centre of Applied Dynamics and Optimisation at the U. of Western Australia), time delayed feedback systems, and global modelling applications to biological data and secure communication.

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Contents

Modelling Nonlinear Dynamical Systems From Data
161
Building Optimal Models of Time Series
179
Construction of Dynamical Model Equations for Nonautonomous
215
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