Predicting the Future: Completing Models of Observed Complex Systems

✍ Scribed by Henry Abarbanel (auth.)

Publisher: Springer-Verlag New York
Year: 2013
Tongue: English
Leaves: 253
Series: Understanding Complex Systems
Edition: 1
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

Through the development of an exact path integral for use in transferring information from observations to a model of the observed system, the author provides a general framework for the discussion of model building and evaluation across disciplines. Through many illustrative examples drawn from models in neuroscience, geosciences, and nonlinear electrical circuits, the concepts are exemplified in detail. Practical numerical methods for approximate evaluations of the path integral are explored, and their use in designing experiments and determining a model’s consistency with observations is explored.

✦ Table of Contents

Front Matter....Pages i-xvi
An Overview: The Challenge of Complex Systems....Pages 1-5
Examples as a Guide to the Issues....Pages 7-50
General Formulation of Statistical Data Assimilation....Pages 51-84
Evaluating the Path Integral....Pages 85-124
Twin Experiments....Pages 125-197
Analysis of Experimental Data....Pages 199-220
Unfinished Business....Pages 221-226
Back Matter....Pages 227-238

✦ Subjects

Statistical Physics, Dynamical Systems and Complexity;Complex Systems;Numerical and Computational Physics;Simulation and Modeling;Neurosciences

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