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- 488 pages
- English
- PDF
- Available on iOS & Android
eBook - PDF
Turbulence, Strange Attractors And Chaos
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About This Book
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.
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Table of contents
- CONTENTS
- INTRODUCTION
- METHODES D'ANALYSE GLOBALE EN HYDRODYNAMIQUE
- On the Nature of Turbulence
- Occurrence of Strange Axiom A Attractors Near Quasi Periodic Flows on Tm, m ⧠3
- Bifurcations in the Presence of a Symmetry Group
- SOME COMMENTS ON CHEMICAL OSCILLATIONS
- A MEASURE ASSOCIATED WITH AXIOM-A ATTRACTORS.
- The Ergodic Theory of Axiom A Flows
- SENSITIVE DEPENDENCE ON INITIAL CONDITION AND TURBULENT BEHAVIOR OF DYNAMICAL SYSTEMS
- What Are the Measures Describing Turbulence?
- MICROSCOPIC FLUCTUATIONS AND TURBULENCE
- Strange Attractors
- Small Random Perturbations of Dynamical Systems and the Definition of Attractors
- MEASURES DESCRIBING A TURBULENT FLOW
- Differentiable Dynamical Systems and the Problem of Turbulence
- ON FEIGENBAUM'S FUNCTIONAL EQUATION
- DO TURBULENT CRYSTALS EXIST?
- Statistical Mechanics of Vortices in an Inviscid Two-Dimensional Fluid
- Large Volume Limit of the Distribution of Characteristic Exponents in Turbulence
- Characteristic Exponents for a Viscous Fluid Subjected to Time Dependent Forces
- BOUNDS ON COMPLEXITY IN REACTION-DIFFUSION SYSTEMS
- Two-Dimensional Poiseuille Flow
- BOWEN'S FORMULA FOR THE HAUSDORFF DIMENSION OF SELF-SIMILAR SETS
- Repellers for real analytic maps
- Flots qui ne melangent pas exponentiellement.
- Ergodic theory of chaos and strange attractors
- Resonances of Chaotic Dynamical Systems
- Resonances for intermittent systems
- Liapunov exponents from time series
- Diagnosis of dynamical systems with fluctuating parameters
- Recurrence Plots of Dynamical Systems.
- Fundamental limitations for estimating dimensions and Lyapunov exponents in dynamical systems
- Deterministic chaos: the science and the fiction
- Is There Screening in Turbulence?
- WHERE CAN ONE HOPE TO PROFITABLY APPLY THE IDEAS OF CHAOS?