This book is an in-depth and broad text on the subject of chaos in dynamical systems. It is intended to serve both as a graduate course text for science and engineering students, and as a reference and introduction to the subject for researchers. Within the past decade scientists, mathematicians and engineers have realized that a large variety of systems exhibit complicated evolution with time. This complicated behaviour, called chaos, occurs so frequently that it has become important for workers in many disciplines to have a good grasp of the fundamentals and basic tools of the emerging science of chaotic dynamics. The author's style is pedagogic, and the book will be of value both as a graduate text and also as a reference work for researchers in science and engineering needing to understand this important new subject. Homework problems are also included throughout the book.
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Book Description
Editorial Reviews
Review
' ... provides a stimulating selection of topics ... His description provides an excellent, intuitive account of chaos, which is essential to developing scientists.' Nature
'Ott's book provides a stimulating selection of topics that could be taught a la carte in postgraduate courses ... He has managed to capture the beauty of this subject in a way that should motivate and inform the next generation of students in applied dynamical systems.' Nature
'Ott's book provides a stimulating selection of topics that could be taught a la carte in postgraduate courses ... He has managed to capture the beauty of this subject in a way that should motivate and inform the next generation of students in applied dynamical systems.' Nature
Book Description
A large variety of systems exhibit complicated evolution with time; this complicated behaviour is named chaos. Chaos in dynamic systems provides scientists, mathematicians and engineers with the basic tools that they need to have a good grasp of chaotic dynamics and this important frequently-encountered behaviour.
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Most Helpful Customer Reviews
15 of 18 people found the following review helpful:
5.0 out of 5 stars
Destined to become the standard text of the field,
By A Customer
This review is from: Chaos in Dynamical Systems (Paperback)
An excellent text that is written in a very understandable and careful style. It gives the readers a good grasp
of the fundamentals by emphasizing main ideas instead of harping on technical definitions. The
bibliography at the end of the book is also a good source for readers who want to delve further into the
technical literature.
12 of 15 people found the following review helpful:
5.0 out of 5 stars
Good for physicists,
By
This review is from: Chaos in Dynamical Systems (Paperback)
A good introduction to chaos in dynamical systems for physicists. The emphasis is not on time-series analysis or nonlinear systems, but chaos in "physical" systems (in the sense of applications in physics). A good reading for undergrads in physics and maths. One of the best starters for getting deeper into chaos theory...
4 of 4 people found the following review helpful:
4.0 out of 5 stars
no pretty fractal diagrams, but good explanations,
By
This review is from: Chaos in Dynamical Systems (Paperback)
Ott gives a very clear description of the concept of chaos or chaotic behaviour in a dynamical system of equations. Where often these equations are nonlinear. While containing rigour, the text proceeds at a pace suitable for a non-mathematician in the physical sciences. In other words, it is not at a very formal level, like the epsilon-delta approach to teaching calculus. The concepts are also backed by well drawn diagrams, that illustrate key points.
The book does not have the lovely diagrams of Julia sets and fractals, that you often see in other books on this subject. Those are certainly pretty and useful. But Ott's book concentrates on the ideas.
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Inside This Book
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First Sentence:
Chaotic dynamics may be said to have started with the work of the French mathematician Henri Poincare at about the turn of the century. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
nonattracting chaotic sets, frequency quasiperiodicity, driven damped pendulum equation, period one saddle, forced damped pendulum equation, inverse period doubling bifurcation, unstable manifold segments, natural invariant density, chaotic invariant set, bubbling transition, strange nonchaotic attractors, arbitrarily fine scale, final state sensitivity, period one orbit, band attractor, fat fractals, period three orbit, attracting period, attractor measure, period two orbit, horseshoe map, generalized synchronization, symplectic condition, fractal basin boundaries, intermittency transition Key Phrases - Capitalized Phrases (CAPs): (learn more)
N-dimensional Cartesian, Ozorio de Almeida New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Chaotic dynamics may be said to have started with the work of the French mathematician Henri Poincare at about the turn of the century. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
nonattracting chaotic sets, frequency quasiperiodicity, driven damped pendulum equation, period one saddle, forced damped pendulum equation, inverse period doubling bifurcation, unstable manifold segments, natural invariant density, chaotic invariant set, bubbling transition, strange nonchaotic attractors, arbitrarily fine scale, final state sensitivity, period one orbit, band attractor, fat fractals, period three orbit, attracting period, attractor measure, period two orbit, horseshoe map, generalized synchronization, symplectic condition, fractal basin boundaries, intermittency transition Key Phrases - Capitalized Phrases (CAPs): (learn more)
N-dimensional Cartesian, Ozorio de Almeida New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 41
books:
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100
books
cite this book:
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- Nonlinear Dynamics by Helleman in Back Matter (1), Back Matter (2), and Back Matter (3)
- Directions in Chaos (World Scientific Series on Directions in Condensed Matter Physics) by Hao Bai-Lin in Back Matter (1), and Back Matter (2)
- Linear Algebra: Supplementary Notes & Problems by E. L. Cohen in Back Matter
- Renormalization Group (Physics Notes) by Giuseppe Benfatto in Back Matter
- Ordinary Differential Equations (Universitext) by Vladimir I. Arnold in Back Matter
See all 41 books this book cites
- Handbook of Chaos Control: Foundations and Applications by Heinz G. Schuster on 4 pages
- Bifurcations and Chaos in Piecewise-Smooth Dynamical Systems: Applications to Power Converters, Relay and Pulse-Width Modulated Control Systems, and ... Series on Nonlinear Science, Series a) by Zhanybai T. Zhusubaliyev on page 58, page 87, and page 110
- Chaos and Nonlinear Dynamics: An Introduction for Scientists and Engineers by Robert Hilborn on page 42, page 370, and Back Matter
- The Kolmogorov Legacy in Physics (Lecture Notes in Physics) by Angelo Vulpiani on page 31, and page 107
- Large-Scale Atmosphere-Ocean Dynamics by John Norbury on page 69, and page 108
See all 100 books citing this book
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