Dynamics of Complex Interacting Systems / Edition 1

by E. Goles, Servet Martínez

Overview

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.

Product Details

ISBN-13:	9780792341734
Publisher:	Springer Netherlands
Publication date:	09/30/1996
Series:	Nonlinear Phenomena and Complex Systems , #2
Edition description:	1996
Pages:	178
Product dimensions:	6.10(w) x 9.25(h) x 0.02(d)

Table of Contents

Models of Spatially Extended Systems.- Some Dynamical Properties of One-Dimensional Cellular Automata.- Thermodynamic Formalism of Neural Computation.- Low Complexity and Geometry.