by David Ruelle (Institut des Hautes Etudes Scientifiques, France)

Introduction (385k)
Chapter 1: Revue et interpretation des resultats (1,833k)

The present collection of reprints covers the main contributions of David Ruelle, and coauthors, to the theory of chaos and its applications. Several of the papers reproduced here are classics in the field. Others (that were published in less accessible places) may still surprise the reader.

The collection contains mathematical articles relevant to chaos, specific articles on the theory, and articles on applications to hydrodynamical turbulence, chemical oscillations, etc.

A sound judgement of the value of techniques and applications is crucial in the interdisciplinary field of chaos. For a critical assessment of what has been achieved in this area, the present volume is an invaluable contribution.

• On the Nature of Turbulence
• Bifurcation in the Presence of a Symmetry Group
• The Ergodic Theory of Axiom A Flows
• Microscopic Fluctuations and Turbulence
• Strange Attractors
• Measures Describing a Turbulent Flow
• Do Turbulent Crystals Exist?
• Characteristic Exponents for a Viscous Fuid Subjected to Time Dependent Forces
• Bowen's Formula for the Hausdorff Dimension of Self-Similar Sets
• Ergodic Theory of Chaos and Strange Attractors
• Liapunov Exponents from Time Series
• Fundamental Limitations for Estimating Dimensions and Lyapunov Exponents in Dynamical Systems
• Where can One Hope to Profitably Apply the Ideas of Chaos?