Turbulence, Strange Attractors and Chaos

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Product Details

  • ISBN-13: 9789810223106
  • Publisher: World Scientific Publishing Company, Incorporated
  • Publication date: 9/28/1995
  • Series: World Scientific Series on Nonlinear Science
  • Pages: 488
  • Product dimensions: 6.80 (w) x 9.90 (h) x 1.20 (d)

Table of Contents

Introduction
Methodes d'Analyse Globale en Hydrodynamique 1
On the Nature of Turbulence 57
Occurrence of Strange Axiom A Attractors Near Quasi-Periodic Flows on [actual symbol not reproducible] 85
Bifurcation in the Presence of a Symmetry Group 91
Some Comments on Chemical Oscillations 109
A Measure Associated with Axiom-A Attractors 117
The Ergodic Theory of Axiom A Flow 153
Sensitive Dependence on Initial Condition and Turbulent Behavior of Dynamical Systems 175
What are the Measures Describing Turbulence? 185
Microscopic Fluctuations and Turbulence 193
Strange Attractors 195
Small Random Perturbations of Dynamical Systems and the Definition of Attractors 207
Measures Describing a Turbulent Flow 223
Differentiable Dynamical Systems and the Problem of Turbulence 233
On Feigenbaum's Functional Equation [actual symbol not reproducible] 247
Do Turbulent Crystals Exist? 253
Statistical Mechanics of Vortices in an Inviscid Two-Dimensional Fluid 259
Large Volume Limit of the Distribution of Characteristic Exponents in Turbulence 295
Characteristic Exponents for a Viscous Fluid Subjected to Time Dependent Forces 311
Bounds on Complexity in Reaction-Diffusion System 327
Two-Dimensional Poiseuille Flow 341
Bowen's Formula for the Hausdorff Dimension of Self-Similar Sets 343
Repellers for Real Analytic Maps 351
Flots qui ne Melangent pas Exponentiellement 361
Ergodic Theory of Chaos and Strange Attractors 365
Resonances of Chaotic Dynamical Systems 405
Resonances for Intermittent Systems 409
Liapunov Exponents from Time Series 427
Diagnosis of Dynamical Systems with Fluctuating Parameters 437
Recurrence Plots of Dynamical Systems 441
Fundamental Limitations for Estimating Dimensions and Lyapunov Exponents in Dynamical Systems 447
Deterministic Chaos: The Science and the Fiction 451
Is There Screening in Turbulence? 459
Where Can One Hope to Profitably Apply the Ideas of Chaos? 463
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