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Chaos in Dynamical Systems [Paperback]

Edward Ott (Author)
4.7 out of 5 stars  See all reviews (6 customer reviews)

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Book Description

September 9, 2002 0521010845 978-0521010849 2
In the new edition of this classic textbook Ed Ott has added much new material and has significantly increased the number of homework problems. The most important change is the addition of a completely new chapter on control and synchronization of chaos. Other changes include new material on riddled basins of attraction, phase locking of globally coupled oscillators, fractal aspects of fluid advection by Lagrangian chaotic flows, magnetic dynamos, and strange nonchaotic attractors.

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Customers buy this book with Nonlinear Dynamics And Chaos: With Applications To Physics, Biology, Chemistry, And Engineering (Studies in Nonlinearity) $41.99

Chaos in Dynamical Systems + Nonlinear Dynamics And Chaos: With Applications To Physics, Biology, Chemistry, And Engineering (Studies in Nonlinearity)
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Editorial Reviews

Review

"...a stimulating selection of topics that could be taught a la carte in postgraduate courses. The book is given unity by a preoccupation with scaling arguments, but covers almost all aspects of the subject (dimensions of strange attractors, transitions to chaos, thermodynamic formalism, scattering quantum chaos and so on...Ott 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

"...a book that will be of most interest to physicists and engineers...The book is well written, and does contain material that is hard to find elsewhere. In particular, the discussion of fractal basin boundaries is lucidly written, and this is an important topic." Bulletin of Mathematical Biology

Book Description

In the new edition of this classic textbook Ed Ott has added much new material and has significantly increased the number of homework problems. The most important change is the addition of a completely new chapter on control and synchronization of chaos. Other changes include new material on riddled basins of attraction, phase locking of globally coupled oscillators, fractal aspects of fluid advection by Lagrangian chaotic flows, magnetic dynamos, and strange nonchaotic attractors.

Product Details

  • Paperback: 492 pages
  • Publisher: Cambridge University Press; 2 edition (September 9, 2002)
  • Language: English
  • ISBN-10: 0521010845
  • ISBN-13: 978-0521010849
  • Product Dimensions: 9.4 x 7.4 x 1.3 inches
  • Shipping Weight: 2.2 pounds (View shipping rates and policies)
  • Average Customer Review: 4.7 out of 5 stars  See all reviews (6 customer reviews)
  • Amazon Best Sellers Rank: #270,950 in Books (See Top 100 in Books)

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Customer Reviews

6 Reviews
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Average Customer Review
4.7 out of 5 stars (6 customer reviews)
 
 
 
 
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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, May 22, 1996
By A Customer
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.
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12 of 15 people found the following review helpful:
5.0 out of 5 stars Good for physicists, August 13, 2001
By 
Steve Uhlig (Berlin, Germany) - See all my reviews
(REAL NAME)   
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...
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4 of 4 people found the following review helpful:
4.0 out of 5 stars no pretty fractal diagrams, but good explanations, November 25, 2006
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 (learn more)
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
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