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Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering Paperback – 29 July 2014

by Steven Strogatz (Author)

491 ratings

Part of: Studies in Nonlinearity (4 books)

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This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.A unique feature of the book is its emphasis on applications. These include mechanical vibrations, lasers, biological rhythms, superconducting circuits, insect outbreaks, chemical oscillators, genetic control systems, chaotic waterwheels, and even a technique for using chaos to send secret messages. In each case, the scientific background is explained at an elementary level and closely integrated with mathematical theory.In the twenty years since the first edition of this book appeared, the ideas and techniques of nonlinear dynamics and chaos have found application to such exciting new fields as systems biology, evolutionary game theory, and sociophysics. This second edition includes new exercises on these cutting-edge developments, on topics as varied as the curiosities of visual perception and the tumultuous love dynamics in Gone With the Wind .

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Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering
Steven H Strogatz

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"The new edition has a friendly yet clear technical style . . . One of the book's biggest strengths is that it explains core concepts through practical examples drawn from various fields and from real-world systems . . . the author's excellent use of geometric and graphical techniques greatly clarifies what can be amazingly complex behavior." Physics Today

"Nonlinear Dynamics and Chaos is an excellent book that effectively demonstrates the power and beauty of the theory of dynamical systems. Its readers will want to learn more." Mathematical Association of America

About the Author

Steven Strogatz is the Schurman Professor of Applied Mathematics at Cornell University. His honours include MIT's highest teaching prize, a lifetime achievement award for the communication of mathematics to the general public, and membership in the American Academy of Arts and Sciences. His research on a wide variety of nonlinear systems,from synchronized fireflies to small-world networks,has been featured in the pages of Scientific American, Nature, Discover, Business Week, and The New York Times.

Product details

Publisher ‏ : ‎ Perseus
Publication date ‏ : ‎ 29 July 2014
Edition ‏ : ‎ 1st
Language ‏ : ‎ English
Print length ‏ : ‎ 528 pages
ISBN-10 ‏ : ‎ 0813349109
ISBN-13 ‏ : ‎ 978-0813349107
Item weight ‏ : ‎ 726 g
Dimensions ‏ : ‎ 15.88 x 3.18 x 23.5 cm
Part of series ‏ : ‎ Studies in Nonlinearity

Best Sellers Rank: 365,454 in Books (See Top 100 in Books)
- 23 in Linear Programming (Books)
- 47 in Library & Information Science Textbooks
- 56 in Chaos Theory

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491 ratings

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Steven H. Strogatz

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STEVEN STROGATZ is the Winokur Distinguished Professor for the Public Understanding of Science and Mathematics at Cornell University. A renowned teacher and one of the world’s most highly cited mathematicians, he has blogged about math for the New York Times and The New Yorker and has been a frequent guest on Radiolab and Science Friday. He lives in Ithaca, New York.

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Souvik Chakraborty
Unraveling Complexity
Reviewed in India on 26 December 2024
Verified Purchase

Steven H. Strogatz’s Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering is a masterclass in making a challenging field accessible to a wide audience. Whether you're a physics student, an engineer, or someone simply curious about the fascinating world of nonlinear systems, this book provides an exceptional introduction to the subject.

One of the standout features of Strogatz's book is its ability to bridge intuition and mathematical rigor. Strogatz’s explanations are lucid and conversational, making even the most intricate concepts—like bifurcations, limit cycles, and chaos—understandable to beginners.

The text is organized to guide the reader through a logical progression of topics. Starting with one-dimensional flows, it expands to two-dimensional systems, limit cycles, bifurcations, chaos, and higher-dimensional systems. Each chapter builds on the previous one, ensuring a steady accumulation of knowledge without overwhelming the reader.

The book excels in its descriptions of key phenomena:

* Bifurcations: Strogatz provides a clear framework for understanding how systems undergo qualitative changes in behavior as parameters are varied. Saddle-node, Hopf, and pitchfork bifurcations are explained with real-world examples.
* Limit Cycles: He demystifies the concept of self-sustaining oscillations with practical systems, such as the Van der Pol oscillator.
* Chaos: The hallmark of the book is its treatment of chaos. Through examples like the logistic map and Lorenz equations, Strogatz provides an intuitive understanding of chaotic behavior and its sensitivity to initial conditions.
* Applications: From the synchronization of fireflies to chaotic dripping faucets, Strogatz enriches the theoretical concepts with fascinating real-world applications.

Highlights:
* Conceptual Clarity: Topics like phase portraits, attractors, and fractals are presented in an intuitive yet mathematically grounded way.
* Real-World Examples: Applications from diverse fields—biology, chemistry, engineering—enhance understanding and show the ubiquity of nonlinear dynamics.
* Exercises: A well-thought-out set of problems allows readers to deepen their understanding and test their knowledge.
* Interdisciplinary Approach: The examples and applications span multiple disciplines, showcasing the broad relevance of nonlinear dynamics.
* Some advanced topics, such as higher-dimensional chaos and detailed numerical methods, are only briefly touched upon, making it less comprehensive for graduate-level or research-focused audiences.
* While the book is accessible, readers without a basic understanding of differential equations may need supplementary resources.

Read more

Souvik Chakraborty

Unraveling Complexity

Reviewed in India on 26 December 2024
Steven H. Strogatz’s Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering is a masterclass in making a challenging field accessible to a wide audience. Whether you're a physics student, an engineer, or someone simply curious about the fascinating world of nonlinear systems, this book provides an exceptional introduction to the subject.

One of the standout features of Strogatz's book is its ability to bridge intuition and mathematical rigor. Strogatz’s explanations are lucid and conversational, making even the most intricate concepts—like bifurcations, limit cycles, and chaos—understandable to beginners.

The text is organized to guide the reader through a logical progression of topics. Starting with one-dimensional flows, it expands to two-dimensional systems, limit cycles, bifurcations, chaos, and higher-dimensional systems. Each chapter builds on the previous one, ensuring a steady accumulation of knowledge without overwhelming the reader.

The book excels in its descriptions of key phenomena:

* Bifurcations: Strogatz provides a clear framework for understanding how systems undergo qualitative changes in behavior as parameters are varied. Saddle-node, Hopf, and pitchfork bifurcations are explained with real-world examples.
* Limit Cycles: He demystifies the concept of self-sustaining oscillations with practical systems, such as the Van der Pol oscillator.
* Chaos: The hallmark of the book is its treatment of chaos. Through examples like the logistic map and Lorenz equations, Strogatz provides an intuitive understanding of chaotic behavior and its sensitivity to initial conditions.
* Applications: From the synchronization of fireflies to chaotic dripping faucets, Strogatz enriches the theoretical concepts with fascinating real-world applications.

Highlights:
* Conceptual Clarity: Topics like phase portraits, attractors, and fractals are presented in an intuitive yet mathematically grounded way.
* Real-World Examples: Applications from diverse fields—biology, chemistry, engineering—enhance understanding and show the ubiquity of nonlinear dynamics.
* Exercises: A well-thought-out set of problems allows readers to deepen their understanding and test their knowledge.
* Interdisciplinary Approach: The examples and applications span multiple disciplines, showcasing the broad relevance of nonlinear dynamics.
* Some advanced topics, such as higher-dimensional chaos and detailed numerical methods, are only briefly touched upon, making it less comprehensive for graduate-level or research-focused audiences.
* While the book is accessible, readers without a basic understanding of differential equations may need supplementary resources.

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A.S
Great introduction to the subject
Reviewed in France on 21 March 2024
Verified Purchase
The book emphasizes intuition and illustrates each concept with several interesting examples from different domains (physics and biology, among others). It rarely falls back to the theorem/proof format, which might sacrifice some mathematical rigour, but it's perfect for an introduction. Unlike many books on similar topics, I find it really fun to read.

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Nunix
Its just a great book, well written with clarity and humour
Reviewed in the United Kingdom on 4 April 2020
Verified Purchase
It's just a wonderfull book on the subject, and according to many specialists in the field it is one of the best for graduate students. You can really learn from the book. Plus the author offers free lectures on yt for each chapter! You could not ask for more. Bottom line: I highly recommend it!

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EM
Studieboeken
Reviewed in the Netherlands on 3 July 2023
Verified Purchase
Juiste druk, snelle bezorging, via Amazon zijn boeken soms sneller leverbaar dan de standaard studieboeken-leverancier.

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Simone
Top
Reviewed in Italy on 13 March 2024
Verified Purchase
Vero good

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