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Nonlinear Dynamics and Chaos 2nd Edition

5.0 out of 5 stars 2 customer reviews
ISBN-13: 978-0471876458
ISBN-10: 0471876453
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Editorial Reviews

Review

??much more extensive than before..? (The Mathematical Review, March 2004)

"The fully updated second edition provides a self-contained introduction to the theory and applications of nonlinear dynamics and chaos." (International Journal of Environmental Analytical Chemistry, Vol.84, No.14 – 15, 10 – 20 December 2004)

From the Back Cover

Covering one of the fastest growing areas of applied mathematics, Nonlinear Dynamics and Chaos: Second Edition, is a fully updated edition of this highly respected text. Covering a breadth of topics, ranging from the basic concepts to applications in the physical sciences, the book is highly illustrated and written in a clear and comprehensible style.
  • Provides a self-contained introduction to the theory and applications of nonlinear dynamics and chaos.
  • Introduces the concepts of instabilities, bifurcations, and catastrophes.
  • Each idea is carefully explained and supported by examples.
  • Features many applications to a wide variety of scientific fields.
  • Includes an illustrated glossary of geometrical dynamics.
  • Features a supplementary bibliography of further reading.
  • Assumes minimal background knowledge.
Nonlinear Dynamics and Chaos: Second Edition provides an excellent introduction to the subject for students of mathematics, engineering, physics and applied science. It will also appeal to the many researchers who work with computer models of systems that change over time.
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Product Details

  • Hardcover: 460 pages
  • Publisher: Wiley; 2 edition (April 15, 2002)
  • Language: English
  • ISBN-10: 0471876453
  • ISBN-13: 978-0471876458
  • Product Dimensions: 6.3 x 1.2 x 9 inches
  • Shipping Weight: 1.7 pounds (View shipping rates and policies)
  • Average Customer Review: 5.0 out of 5 stars  See all reviews (2 customer reviews)
  • Amazon Best Sellers Rank: #5,270,598 in Books (See Top 100 in Books)

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Format: Hardcover
I have the older version from 89 I believe. I have seen the newer version and it did not seem to have changed very much.

This is a graduate level text for studies in nonlinear dynamics and chaos. It is meant for practising engineers and physicists really. It does not go into the mathematical perspective of nonlinear dynamics. It treats the theory from a flow rather than mapping based perspective. It also treats the subject matter with much more respect and depth than the Strogatz book of the same name. Strogatz's book is meant more for the undergraduate courses in NLD while this one helps physicists/engineers with traditional vibrations background bridge the gap to NLD and Chaos theory. All in all an excellent introduction to nonlinear dynamics.
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Format: Paperback
Starting with the simple harmonic oscillator as an example, the authors lead the reader through a serious of increasingly complex physical systems and their corresponding phase spaces. With the advent of nonlinearity, more detailed paths in phase space are seen to result--often for relatively simple-looking potentials. These richly branched and bifuricated paths in phase space are shown to diverge sufficiently strongly from one another to evoke chaos--situations which the authors present using numerous beautifully illustrated maps. Of particular interest is the chapter on the escape from a potential well, with a simple cubic potential as an example. Physical examples of problems resulting from the evolution of chaos in nonlinear systems include the unmooring of a boat in a harbor, the capsizing of a boat in rough seas, and the tumbling of a satellite. Also worth mentioning is this book's extensive illustrated glossary of terms and concepts.
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