Computational Analysis Of One-dimensional Cellular Automata
eBook - PDF

Computational Analysis Of One-dimensional Cellular Automata

  1. 288 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Computational Analysis Of One-dimensional Cellular Automata

Book details
Table of contents
Citations

About This Book

Cellular automata provide one of the most interesting avenues into the study of complex systems in general, as well as having an intrinsic interest of their own. Because of their mathematical simplicity and representational robustness they have been used to model economic, political, biological, ecological, chemical, and physical systems. Almost any system which can be treated in terms of a discrete representation space in which the dynamics is based on local interaction rules can be modelled by a cellular automata.The aim of this book is to give an introduction to the analysis of cellular automata (CA) in terms of an approach in which CA rules are viewed as elements of a nonlinear operator algebra, which can be expressed in component form much as ordinary vectors are in vector algebra. Although a variety of different topics are covered, this viewpoint provides the underlying theme. The actual mathematics used is not hard, and the material should be accessible to anyone with a junior level university background, and a certain degree of mathematical maturity.

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Yes, you can access Computational Analysis Of One-dimensional Cellular Automata by Burton Voorhees in PDF and/or ePUB format, as well as other popular books in Biowissenschaften & Wissenschaft Allgemein. We have over one million books available in our catalogue for you to explore.

Information

Publisher
World Scientific
Year
1995
ISBN
9789812798671
Topic
Biowissenschaften
Subtopic
Wissenschaft Allgemein

Table of contents

  1. Table of Contents
  2. Preface
  3. Introduction
  4. Chapter 1 The Operator Algebra of Cellular Automata
  5. Chapter 2 Cellular Automata Arithmetic
  6. Chapter 3 Fixed Points and Cycles
  7. Chapter 4 Commutation of CA Rules
  8. Chapter 5 Additive Rules: I. Basic Analysis
  9. Chapter 6 Additive Rules: II. Cycle Structures and Entropy
  10. Chapter 7 Additive Rules: III. Computation of Predecessors
  11. Chapter 8 The Binary Difference Rule
  12. Chapter 9 Computation of Pre-Images
  13. Chapter 10 The Garden of Eden
  14. Chapter 11 Time Series Simulation
  15. Chapter 12 Surjectivity of Cellular Automata Rules