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Cellular Automata: Analysis and Applications

This book focuses on a coherent representation of the main approaches to analyze the dynamics of cellular automata. Cellular automata are an inevitable tool in mathematical modeling. In contrast to classical modeling approaches as partial differential equations, cellular automata are straightforward...

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Main Authors: Hadeler, Karl-Peter. (Author, http://id.loc.gov/vocabulary/relators/aut), Müller, Johannes. (http://id.loc.gov/vocabulary/relators/aut)
Corporate Author: SpringerLink (Online service)
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
Edition:1st ed. 2017.
Series:Springer Monographs in Mathematics,
Subjects:
Dynamics.
Ergodic theory.
System theory.
Mathematical physics.
Biomathematics.
Dynamical Systems and Ergodic Theory.
Complex Systems.
Mathematical Applications in the Physical Sciences.
Mathematical and Computational Biology.
Online Access:https://doi.org/10.1007/978-3-319-53043-7
Table of Contents:
  • 1.Introduction
  • 2.Cellular automata - basic definitions
  • 3.Cantor topology of cellular automata
  • 4.Besicovitch and Weyl topologies
  • 5 Attractors
  • 6 Chaos and Lyapunov stability
  • 7 Language classification of Kůrka
  • 8.Turing machines, tiles, and computability
  • 9 Surjectivity and injectivity of global maps
  • 10.Linear Cellular Automata
  • 11 Particle motion
  • 12
  • Pattern formation
  • 13.Applications in various areas
  • A.Basic mathematical tools.

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