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.
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Editorial Reviews
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"...deals with the aspects of dynamical systems which are more closely related with ergodic theory, namely the properties of the invariant measures generated by the time evolutions." Mathematics and Computers in Simulation
"...an excellent survey of the current theoretical status of an exciting subject. I think it is accessible to anyone with undergraduate mathematics, and well worth reading." SIAM Reviews
"...a fine reference book for experts in this field." The UMAP Journal
"...an excellent survey of the current theoretical status of an exciting subject. I think it is accessible to anyone with undergraduate mathematics, and well worth reading." SIAM Reviews
"...a fine reference book for experts in this field." The UMAP Journal
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Introduction to Chaos,
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This review is from: Chaotic Evolution and Strange Attractors (Lezioni Lincee) (Paperback)
An excellent introduction to chaos for the mathematically inclined, this work offers a brief tour through the concepts and theorms behind the field of chaos and nonlinear dynamics. Having a college mathematical background is decidedly helpful in getting use out of it, but having a mathematical mindset is absolutely essential.
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Chaos in a nutshell,
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This review is from: Chaotic Evolution and Strange Attractors (Lezioni Lincee) (Paperback)
A delightful little read - a little and highly mathematical overview of chaos - from a master.
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Introduction to Chaos,
By A Customer
This review is from: Chaotic Evolution and Strange Attractors (Lezioni Lincee) (Hardcover)
An excellent introduction to chaos for the mathematically inclined, this work offers a brief tour through the concepts and theorms behind the field of chaos and nonlinear dynamics. Having a college mathematical background is decidedly helpful in getting use out of it, but having a mathematical mindset is absolutely essential.
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Inside This Book
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First Sentence:
An important question arising from many experimental situations (for example, studying turbulent behavior in a fluid flow) is the following: How does one explain a situation in which one gets a signal (i.e a times series) which is nonperiodic, indeed a chaotic signal? Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
positive characteristic exponent, multiplicative ergodic theorem, characteristic exponents, deterministic interpretation, attracting set, ergodic measure, chaotic signals, invariant probability measures, unstable directions New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
An important question arising from many experimental situations (for example, studying turbulent behavior in a fluid flow) is the following: How does one explain a situation in which one gets a signal (i.e a times series) which is nonperiodic, indeed a chaotic signal? Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
positive characteristic exponent, multiplicative ergodic theorem, characteristic exponents, deterministic interpretation, attracting set, ergodic measure, chaotic signals, invariant probability measures, unstable directions New!
Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 13
books:
See all 13 books this book cites
86
books
cite this book:
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- Chaos and Order in Nature (Springer series in synergetics) by H. Haken in Back Matter (1), and Back Matter (2)
- The Fractal Geometry of Nature by Benoit B. Mandelbrot in Back Matter (1), and Back Matter (2)
- Iterated Maps on the Interval as Dynamical System by Pierre Collet in Back Matter (1), and Back Matter (2)
- Dynamical Systems and Turbulence (Lecture Notes in Mathematics) by D. Rand in Back Matter (1), and Back Matter (2)
- Structural Stability and Morphogenesis: An Outline of a General Theory of Models by Rene Thom in Back Matter (1), and Back Matter (2)
See all 13 books this book cites
- Chaos and Nonlinear Dynamics: An Introduction for Scientists and Engineers by Robert Hilborn on page 43, page 372, and Back Matter
- The Essence Of Chaos (The Jessie and John Danz Lecture Series) by Edward Lorenz in Back Matter (1), and Back Matter (2)
- Chaos and Fractals: New Frontiers of Science by Heinz-Otto Peitgen on page 686, and Back Matter
- Networks and Chaos - Statistical and Probabilistic Aspects (Chapman & Hall/CRC Monographs on Statistics & Applied Probability) by J L Jensen on page 197, and page 250
- Fractals for the Classroom: Part Two: Complex Systems and Mandelbrot Set by Heinz-Otto Peitgen in Back Matter (1), and Back Matter (2)
See all 86 books citing this book
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