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Chaos and Dynamical Systems (Primers in Complex Systems)

by David P. Feldman (Author)
5.0 5.0 out of 5 stars 14 ratings
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Chaos and Dynamical Systems presents an accessible, clear introduction to dynamical systems and chaos theory, important and exciting areas that have shaped many scientific fields. While the rules governing dynamical systems are well-specified and simple, the behavior of many dynamical systems is remarkably complex. Of particular note, simple deterministic dynamical systems produce output that appears random and for which long-term prediction is impossible. Using little math beyond basic algebra, David Feldman gives readers a grounded, concrete, and concise overview.

In initial chapters, Feldman introduces iterated functions and differential equations. He then surveys the key concepts and results to emerge from dynamical systems: chaos and the butterfly effect, deterministic randomness, bifurcations, universality, phase space, and strange attractors. Throughout, Feldman examines possible scientific implications of these phenomena for the study of complex systems, highlighting the relationships between simplicity and complexity, order and disorder.

Filling the gap between popular accounts of dynamical systems and chaos and textbooks aimed at physicists and mathematicians, Chaos and Dynamical Systems will be highly useful not only to students at the undergraduate and advanced levels, but also to researchers in the natural, social, and biological sciences.

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  1. ISBN-10
    0691161526
  2. ISBN-13
    978-0691161525
  3. Publisher
    Princeton University Press
  4. Publication date
    August 6, 2019
  5. Part of series
    Primers in Complex Systems
  6. Language
    English
  7. Dimensions
    5.25 x 0.5 x 8.5 inches
  8. Print length
    264 pages
  9. See all details
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Editorial Reviews

Review

"Feldman succeeds in introducing the reader to the world of dynamic systems and the, almost mythical, chaos that they can produce."---Adhemar Bultheel, European Mathematical Society

"[A] gentle and loving introduction to dynamical systems. . . . Chaos and Dynamical Systems is a book for everyone from the layman to the expert."---David S. Mazel, MAA Reviews

Review

“This book is a readable tour and deep dive into chaotic dynamics and related concepts from the field of dynamical systems theory. Appropriate for use in a sequence at the undergraduate level, this book will also appeal to graduate students, postdocs, and faculty in the biological and social sciences and engineering.”―James P. Crutchfield, University of California, Davis

“With clear and explanatory prose and simple yet precisely constructed examples, this book conveys a deep understanding of chaos, bifurcations, and other core concepts of dynamical systems to a much larger audience than was previously possible. Feldman achieves this all without relying on a deep knowledge of math. An impressive balancing act, this is certainly a significant contribution to the field.”―Van Savage, University of California, Los Angeles

“Chaos and Dynamical Systems is a great introduction to nonlinear dynamics, bifurcations, and chaos. It is easy to follow and understand, yet also provides a generous amount of mathematical detail, which will satisfy technically oriented minds too. This book’s core take-home message, that simple mathematical systems can produce complex dynamics, has implications for many real-world complex systems.”―Hiroki Sayama, Binghamton University, State University of New York

Product details

  • Publisher ‏ : ‎ Princeton University Press (August 6, 2019)
  • Language ‏ : ‎ English
  • Paperback ‏ : ‎ 264 pages
  • ISBN-10 ‏ : ‎ 0691161526
  • ISBN-13 ‏ : ‎ 978-0691161525
  • Item Weight ‏ : ‎ 13.1 ounces
  • Dimensions ‏ : ‎ 5.25 x 0.5 x 8.5 inches
  • Customer Reviews:
    5.0 5.0 out of 5 stars 14 ratings

Customer reviews

5 out of 5 stars
14 global ratings

Top review from the United States

Vincent Granville
5.0 out of 5 stars Great book, even for an expert on the topic
Reviewed in the United States on March 25, 2023
Verified Purchase
I thought I was one of the few who can write on chaotic dynamical systems and teach advanced topics in simple English. David's book goes one step further in terms of being almost math-free, yet manage to cover a good chunk of material deeply enough to intrigue the reader. Very refreshing reading. My book "Gentle Introduction to Chaotic Dynamical Systems" would be a next step once you understand the material in David's book.
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Top reviews from other countries

Julio Cesar Campos Neto
5.0 out of 5 stars Great introduction to chaos and dynamical systems.
Reviewed in Brazil on July 8, 2020
Verified Purchase
This is a great introduction to chaos and dynamical systems. Despite having a section on differential equations, he gives a good intuitive notion of it and you can understand whats going on. It does have some overlap with the previous books from prof David Feldman. Also, you can watch the lectures and follow along with the book about the subject in the Santa Fe Institute's Complexity Explorer website.
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Tanya W
5.0 out of 5 stars Great read!
Reviewed in Australia on July 19, 2021
Verified Purchase
Great book - Very educational
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