Cellular Automata and Complex Systems

  • Eric Goles
  • Servet Martínez

Part of the Nonlinear Phenomena and Complex Systems book series (NOPH, volume 3)

Table of contents

  1. Front Matter
    Pages i-viii
  2. Bruno Durand
    Pages 1-22
  3. Eric Goles, Martín Matamala
    Pages 23-36
  4. Mario Markus, André Czajka, Dominik Böhm, Tomas Hahn, Torsten Schulte, António Ribeiro
    Pages 55-105
  5. Salvador Miracle-Sole
    Pages 107-151
  6. Back Matter
    Pages 181-181

About this book


This book contains the courses given at the Fifth School on Complex Systems held at Santiago, Chile, from 9th .to 13th December 1996. At this school met researchers working on areas related with recent trends in Complex Systems, which include dynamical systems, cellular automata, symbolic dynamics, spatial systems, statistical physics and thermodynamics. Scientists working in these subjects come from several areas: pure and applied mathematics, physics, biology, computer science and electrical engineering. Each contribution is devoted to one of the above subjects. In most cases they are structured as surveys, presenting at the same time an original point of view about the topic and showing mostly new results. The paper of Bruno Durand presents the state of the art on the relationships between the notions of surjectivity, injectivity and reversibility in cellular automata when finite, infinite or periodic configurations are considered, also he discusses decidability problems related with the classification of cellular automata as well as global properties mentioned above. The paper of Eric Goles and Martin Matamala gives a uniform presentation of simulations of Turing machines by cellular automata. The main ingredient is the encoding function which must be fixed for all Turing machine. In this context known results are revised and new results are presented.


Turing machine automata complex system complex systems computer science dynamical systems statistical physics

Editors and affiliations

  • Eric Goles
    • 1
  • Servet Martínez
    • 1
  1. 1.Departamento de Ingeniería Matemática, F.C.F.M.Universidad de ChileSantiagoChile

Bibliographic information

  • DOI
  • Copyright Information Springer Science+Business Media Dordrecht 1999
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-90-481-5154-7
  • Online ISBN 978-94-015-9223-9
  • Series Print ISSN 1386-288X
  • Buy this book on publisher's site