Turbulence, strange attractors, and chaos
Author(s)
Bibliographic Information
Turbulence, strange attractors, and chaos
（World Scientific series on nonlinear science / editor, Leon O. Chua, ser. A,
World Scientific, c1995
- : hbk
- : pbk
Available at 43 libraries
Description and Table of Contents
Description
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.
Table of Contents
- 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
- Lyapunov 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?
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