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© 1992

Chaotic Dynamics

Theory and Practice

  • T. Bountis
Book

Part of the NATO ASI Series book series (NSSB, volume 298)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Chaotic Dynamics: Theory

    1. Complexity, Control and Data Representaion

    2. Fractals, Multifractals and Analyticity of Normal Forms

    3. Integrability, Painleve Property and Singularity Analysis

      1. Michael F. Jørgensen, Peter L. Christiansen, Silvana de Lillo, Leonor Cruzeiro-Hansson
        Pages 71-73
      2. B. Grammaticos, G. Karra, V. Papageorgiou, A. Ramani
        Pages 75-90
      3. Allan Fordy, Andrew Pickering
        Pages 101-114
    4. Statistical Physics, Celestial Mechanics and Cosmology

      1. R. Kluiving, H. W. Capel, R. A. Pasmanter
        Pages 129-138
      2. Armando Bazzani, Stefano Siboni, Giorgio Turchetti, Sandro Vaienti
        Pages 139-144
  3. Chaotic Dynamics: Practice

    1. Controlling Dynamical Systems

      1. Filipe J. Romeiras, Celso Grebogi, Edward Ott, W. P. Dayawansa
        Pages 177-193
      2. C. E. Frouzakis, R. A. Adomaitis, I. G. Kevrekidis, M. P. Golden, B. E. Ydstie
        Pages 195-210

About this book

Introduction

Many conferences, meetings, workshops, summer schools and symposia on nonlinear dynamical systems are being organized these days, dealing with a great variety of topics and themes -classical and quantum, theoretical and experimental. Some focus on integrability, or discuss the mathematical foundations of chaos. Others explore the beauty of fractals, or examine endless possibilities of applications to problems of physics, chemistry, biology and other sciences. A new scientific discipline has thus emerged, with its own distinct philosophical viewpoint and an impressive arsenal of new methods and techniques, which may be called Chaotic Dynamics. Perhaps its most outstanding achievement so far has been to shed new light on many long­ standing issues involving complicated, irregular or "chaotic" nonlinear phenomena. The concepts of randomness, complexity and unpredictability have been critically re-examined and the fundamental importance of scaling, self-similarity and sensitive dependence on parameters and initial conditions has been firmly established. In this NATO ASI, held at the seaside Greek city of Patras, between July 11- 20, 1991, a serious effort was made to bring together scientists representing many of the different aspects of Chaotic Dynamics. Our main aim was to review recent advances, evaluate the current state of the art and identify some of the more promising directions for research in Chaotic Dynamics.

Keywords

Experiment Phase chaos complexity dynamical systems laser mechanics model

Editors and affiliations

  • T. Bountis
    • 1
  1. 1.University of PatrasPatrasGreece

Bibliographic information