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Dynamics of Complex Interacting Systems

  • Eric Goles
  • Servet Martínez

Part of the Nonlinear Phenomena and Complex Systems book series (NOPH, volume 2)

Table of contents

  1. Front Matter
    Pages i-viii
  2. Roberto Livi
    Pages 1-33
  3. Dimitri Petritis
    Pages 81-146
  4. Gerard Rauzy
    Pages 147-177
  5. Back Matter
    Pages 178-178

About this book

Introduction

This book contains the courses given at the Fourth School on Statistical Physics and Cooperative Systems held at Santiago, Chile, from 12th to 16th December 1994. This School brings together scientists working on subjects related to recent trends in complex systems. Some of these subjects deal with dynamical systems, ergodic theory, cellular automata, symbolic and arithmetic dynamics, spatial systems, large deviation theory and neural networks. Scientists working in these subjects come from several aeras: pure and applied mathematics, non linear physics, biology, computer science, electrical engineering and artificial intelligence. Each contribution is devoted to one or more of the previous 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 expository text of Roberto Livi concerns the study of coupled map lattices (CML) as models of spatially extended dynamical systems. CML is one of the most used tools for the investigation of spatially extended systems. The paper emphasizes rigorous results about the dynamical behavior of one dimensional CML; i.e. a uniform real local function defined in the interval [0,1], interacting with its nearest neighbors in a one dimensional lattice.

Keywords

artificial intelligence automata complexity network 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 https://doi.org/10.1007/978-94-017-1323-8
  • Copyright Information Springer Science+Business Media B.V. 1996
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-90-481-4734-2
  • Online ISBN 978-94-017-1323-8
  • Series Print ISSN 1386-288X
  • Buy this book on publisher's site