Status
Available
Call number
Library's review
Indeholder "Foreword", "Introduction", "Part I. Steps to a deterministic interpretation of chaotic signals", " 1. Descriptions of turbulence", " 2. A bit more on turbulence. The Navier–Stokes equation", " 3. The Hénon mapping", " 4. Capacity and Hausdorff dimension", " 5. Attracting sets and
Lidt om kaosteori og strange attractors.
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attractors", " 6. Extracting geometric information from a times series", "Part II. The ergodic theory of chaos", " 7. Invariant probability measures", " 8. Physical measures", " 9. Characteristic exponents", " 9.1 The multiplicative ergodic theorem", " 9.2 Characteristic exponents in localisation theory", " 9.3 Characteristic exponents in differentiable dynamics ", " 9.4 The spectrum of characteristic exponents as a classification tool", " 9.5 Parameter dependence", " 9.6 Experimental determination of characteristic exponents", " 10. Invariant manifolds", " 11. Axiom A and structural stability", " 12. Entropy", " 12.1 Entropy and characteristic exponents", " 12.2 SRB measures", " 13. Dimensions", " 13.1 Strange attractors as inhomogeneous fractals", " 13.2 Information dimension, entropy and characteristic exponents", " 14. Resonances", " 15. Conclusions", "References", "Bibliography", "Index".Lidt om kaosteori og strange attractors.
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Publication
Cambridge : Cambridge University Press, 1989.
Description
This book, based on lectures given at the Accademia dei Lincei, is an accessible and leisurely account of systems that display a chaotic time evolution. This behaviour, though deterministic, has features more characteristic of stochastic systems. The analysis here is based on a statistical technique known as time series analysis and so avoids complex mathematics, yet provides a good understanding of the fundamentals. Professor Ruelle is one of the world's authorities on chaos and dynamical systems and his account here will be welcomed by scientists in physics, engineering, biology, chemistry and economics who encounter nonlinear systems in their research.
User reviews
LibraryThing member chellerystick
I checked this book out from the library when we were talking about chaos theory in a business class (required for my degree). I wanted a little bit of the mathematical background as a sanity check, but seeing as the topic was going to be covered in about two hours, I couldn't see committing to
Prereq's: my BA in mathematics served me in good stead. I knew most of the terminology and concepts and was able to mostly follow what was going on, could probably have picked up a few more minor points if I'd gone to Wikipedia for definitions. I would not recommend trying to read this without some undergraduate analysis and topology. The one thing I thought was that I could stand to learn something like differential geometry, and obviously, the more background you have the more you will understand.
Topics covered:
definition and geometry of chaos
relevant kinds of dimensions, probabilities, and other measures
definition and kinds of attractors
characteristic exponents
entropy and information
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months preparing the math. I was happy with how that turned out and think this book was a good choice for that job. It's a short book (around 90 pages, depending on how you count), and is mainly explication rather than proof, a tour treated more casually than would be in a class. While I wouldn't recommend the book as a primary text for study, I can see it serving as an introduction or supplement to more rigorous treatment (another textbook or reading the original papers).Prereq's: my BA in mathematics served me in good stead. I knew most of the terminology and concepts and was able to mostly follow what was going on, could probably have picked up a few more minor points if I'd gone to Wikipedia for definitions. I would not recommend trying to read this without some undergraduate analysis and topology. The one thing I thought was that I could stand to learn something like differential geometry, and obviously, the more background you have the more you will understand.
Topics covered:
definition and geometry of chaos
relevant kinds of dimensions, probabilities, and other measures
definition and kinds of attractors
characteristic exponents
entropy and information
Show Less
Language
Original language
English
Physical description
viii, 96 p.; 21.4 cm
ISBN
0521368308 / 9780521368308
Local notes
Omslag: Elevator G. D. C. Ltd
Omslaget viser titel og forfatter med sort skrift på hvid baggrund med en rødbrun baggrund udenom
Indskannet omslag - N650U - 150 dpi
Omslaget viser titel og forfatter med sort skrift på hvid baggrund med en rødbrun baggrund udenom
Indskannet omslag - N650U - 150 dpi
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Pages
viii; 96
DDC/MDS
| 515.35 |