The Art of Modeling Dynamic Systems

The Art of Modeling Dynamic Systems : Forecasting for Chaos, Randomness, and Determinism

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This text demonstrates the roles of statistical methods, coordinate transformations, and mathematical analysis in mapping complex, unpredictable dynamical systems. Written by a well-known authority in the field, it employs practical examples and analogies, rather than theorems and proofs, to characterize the benefits and limitations of modeling tools. 1991 edition.
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Product details

  • Paperback | 416 pages
  • 152 x 216 x 21mm | 426g
  • New York, United States
  • English
  • Illustrations, unspecified
  • 0486462951
  • 9780486462950
  • 337,276

Table of contents

Preface for the Dover EditionPrefaceI. Introductory Section1. Introduction to Dynamics2. A Brief History of Dynamics and ComputingII. A Thumbnail Sketch of Applied Mathematics3. Foundations and Abstract Entities4. Classical Analysis5. Numerical Analysis and Approximation Theory6. Statistical Method7. Classical Modeling TechniquesIII. Classical Models and Dynamical Concepts8. Dynamics without Calculus9. Basic Models10. Cycles11. Analysis of Mathematical ModelsIV. The Hierarchy of Dynamic Systems12. A Classification Scheme for Dynamic Systems13. Static Systems—Type Zero14. Solvable Systems—Type I15. Perturbation Theory—Type II16. Chaotic Systems—Type III17. Stochastic Systems—Type IVV. The Art of Model Making18. Qualitative Analysis19. Quantitative Analysis20. Model ValidationReferences—The Modeler's LibraryIndex
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