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Nonlinear Dynamics And Chaos: With Applications To Physics, Biology, Chemistry And Engineering (Studies in Nonlinearity)

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4.29  ·  Rating Details ·  803 Ratings  ·  40 Reviews
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 ...more
Hardcover, 512 pages
Published April 20th 1994 by Westview Press (first published 1994)
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(showing 1-30 of 1,960)
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Caroline
Jun 30, 2009 Caroline rated it it was amazing  ·  review of another edition
This introduction to nonlinear dynamics is easy and entertaining to read. Those are qualities sorely missing from most math books out there. I recommend it to anyone -- undergraduate, graduate, or beyond -- who needs an excellent, beautifully clear introduction to nonlinear dynamics.
Kyle
Jan 08, 2009 Kyle rated it it was amazing  ·  review of another edition
Fixed points, their equilibrium, bifurcation parameters, non-dimensionalization, linearization, romeo and juliet
Johannes
Apr 17, 2008 Johannes rated it it was amazing  ·  review of another edition
Recommends it for: advanced undergrads, beginning grad students
Shelves: physics
This is the book for nonlinear dynamics. Strogatz's writing is not only easy to follow, but is also pleasant, conversational, and at times even a bit whimsical. The book opens with very simple material, and while it eventually touches on some fairly advanced ideas (eg renormalization), it builds up to that point very carefully, so the student should never feel overwhelmed. The examples and problems are drawn from a wide range of fields, so students from disciplines besides math and physics shoul ...more
Elio Nakouzi
Jan 13, 2015 Elio Nakouzi rated it it was amazing  ·  review of another edition
Top quality book. Accessible but powerful. Excellent examples to demonstrate the concepts. Even useful as a course textbook.
Mangoo
Jan 11, 2011 Mangoo rated it it was amazing  ·  review of another edition
Recommends it for: (under)graduates students
Excellent mathematical introduction to the dynamics of non-linear systems. The text style is rather informal, and very clear, and many of the concepts and results presented are exposed in an intuitive way. Beginning from uni-dimensional systems and reaching to chaos and strange attractors, there's that typical progressive crescendo in complexity which makes the reading worth and sticking. The book also contains a lot of examples taken from several disciplines (physics, chemistry, population dyna ...more
123...N
Mar 07, 2016 123...N rated it really liked it  ·  review of another edition
Nonlinear Dynamics and Chaos by Strogatz is an introduction to the qualitative study of systems of first degree differential equations. Topics included through the first six chapters (which is as far as I have currently read) are bifurcations, stability of fixed points, linearization about fixed points, and many others. The writing is more conversational than a normal textbook which makes it less painful to read but also has some drawbacks.

Cons: The book is harder to use as a reference than typi
...more
Stuart Woolf
May 01, 2015 Stuart Woolf rated it really liked it  ·  review of another edition
4.5 stars.

This is probably the best math book I've ever read. The author's approach, which is highly unusual in math, emphasizes intuition and visualization over abstractions and formulae - a winning strategy because it eases the learning curve for an otherwise difficult subject without stressing the technical details. Some readers will see this as a flaw, but I think the text is balanced correctly: after all, nonlinear dynamics is a field that yields very few analytical solutions, so why waste
...more
Saul
Feb 26, 2016 Saul rated it really liked it  ·  review of another edition
Very clear and engaging text on nonlinear dynamics with lots of great examples from real-world systems. Rarely do you read a textbook and think to yourself "Wow, I can't wait to find time to work on some of these homework problems." The descriptions often make use of geometric intuition alongside more rigorous derivations, and when the derivations get too difficult, the author omits them in favor of references to more technical works.

One little gripe: the figures are sometimes kind of lousy or c
...more
Santiago Ortiz
I'm just starting the book, but I already know this is a . This book is a window to Nature. The ratio between deepness and accessibility is amazing, thanks to the well written and clear texts and, specially, the smart and beautiful geometric explanations and qualitative solutions. ...more
Michele Cotter
Sep 07, 2015 Michele Cotter rated it it was amazing  ·  review of another edition
Shelves: science
A really excellent book that served as a fascinating introduction to a complex and pervasive subject. I used the first 8 chapters to get to grips with nonlinear systems for a summer research project and will continue using it for the project and on my own time. Strogatz is a master of communicating complex topics clearly, and emphasizes intuition and understanding the mechanisms at work as the path to understanding the formulae.

The book, though written in an almost literary fashion, would probab
...more
Mark Gently
Nov 25, 2015 Mark Gently rated it really liked it  ·  review of another edition
Shelves: r-physics, alex-r
I skimmed this book while watching the author's corresponding lecture series on YouTube: https://www.youtube.com/playlist?list....
Stefano Finazzo
Dec 26, 2013 Stefano Finazzo rated it it was amazing  ·  review of another edition
Um exemplo de como se escrever um livro didático... realmente didático.

Strogatz mostra o básico de sistemas dinâmicos começando do realmente básico, exigindo um mínimo de requisitos - um módico de conhecimentos de cálculo já é mais que suficiente. E leva o leitor bem longe, sem nunca deixá-lo abandonar a trilha - e exibindo a paisagem majestosa pelo meio do caminho.

O tom é informal (e cheio de troças e piadinhas); o rigor matemático é secundário à legibilidade e à intuição. Em todo capítulo há a
...more
Erickson
Apr 04, 2016 Erickson rated it it was amazing  ·  review of another edition
Excellent introductory text on nonlinear dynamics and chaos, with great examples and exercises covering various fields. It is advised though to read certain examples selectively (e.g. if you are not interested in Josephson junction, then skip it since it is somewhat distracting). But otherwise the narration and content are splendid.

It is written in not so rigorous and technical sense - thus more advanced supplement is needed for more advanced purposes. It is also highly advisable to complement t
...more
Dan Saunders
Aug 18, 2016 Dan Saunders rated it it was amazing  ·  review of another edition
Great introductory text on nonlinear dynamics and chaos. The last two chapter didn't seem all that important or useful, but the book gave plenty of hopping-off points to check out the subject matter in greater depth. The writing is incredible, and the problems are thought-provoking.
Yusuke
May 11, 2015 Yusuke rated it it was amazing  ·  review of another edition
Lots of examples.
Video lectures are recorded on youtube https://www.youtube.com/watch?v=9OkVN...

Takes some time to finish reading.
Not so much of rigorous analysis. Relatively easy to read.
Max Benassi
Oct 05, 2014 Max Benassi rated it it was amazing  ·  review of another edition
One of the better math books ive read, does a great job applying calculus and graphical principals to real world nonlinear applications
Eric
Jan 17, 2016 Eric rated it it was amazing  ·  review of another edition
The only textbook I found worthy of buying in college.
Rivan Biya
May 27, 2015 Rivan Biya rated it it was amazing  ·  review of another edition
Good textbook for nonlinear thing...still in progress
Marinho Lopes
Mar 04, 2016 Marinho Lopes rated it really liked it  ·  review of another edition
This is a very well written book about dynamical systems, which mostly focused on bifurcations and chaos. Not only the explanations are easy to follow, but also they are very enjoyable, with lots of interesting and clear examples. Very good book.
Maximiliano Contreras
Jun 07, 2016 Maximiliano Contreras rated it really liked it  ·  review of another edition
Shelves: science
Very readable introduction to the basis of Dynamical Systems. A lot of examples and very few mathematical background is required. In that sense is just an introduction; further reading is required to understand deeper concepts (Sharkovsky, for instance).

I suggest to watch the lectures in Youtube; makes easier to understand some concepts and have discussions that are not addressed in the book.

The references are flawless; contains the angular stones as well as more applied reviewed publications.


Milad
Jan 03, 2015 Milad rated it it was amazing  ·  review of another edition
X'(t)=AX+B. That's all we want to solve. This book teaches you how to solve them precisely at some points, but mostly it's all about dynamics and you don't have to be very precise in that area. The examples of the book are also very cool and fun to go through. For example, you analyze how a tumor grows and you even get the power to draw the dynamics in a plot. As another example, you find out about the dynamics of what happens if a specific number of sheep and rabbits are living together in one ...more
G
May 21, 2015 G rated it it was amazing  ·  review of another edition
Dear Professor Strogatz, thanks for brain massacre! :) Great book, fascinating skills of the author to bring closer something that is chaos and nonlinear dynamics.
Despite the fact that I've found delight in this book, I'm considering myself as person who lacks the level of knowledge that is "sine qua non" for crafting credible review.
Tom
Aug 13, 2010 Tom rated it really liked it  ·  review of another edition
An excellent overview of the order and structure in chaos. Describes the hisor of the thought in the field, advance, and how it is being applied and may be applied as the field continues to mature. The lecture is very interesting and enthusiatic. I do intend to read some of the materials that he suggested.
Kyle
Aug 31, 2009 Kyle rated it it was amazing  ·  review of another edition
This book is great. From a perspective of undergraduate math, all the stamp collecting that is obfuscating in defining bifurcations, etc., are presented as clear and simple as possible. There is a minimum of jargon, and just very illustrative examples by worked problems.
Philip
Oct 05, 2014 Philip rated it it was amazing  ·  review of another edition
A life-changing experience for me.
Here is the subject elegantly pared down to just what a student absolutely needs to know, with Strogatz's trademark elegance and wit. The book is a springboard to many field of science, showing how insights in one field illuminate another.
Particle_Person
Sep 21, 2011 Particle_Person rated it it was amazing
This is one of those rare textbooks that are also readable in bed. There are tons of applications, including such oddities as how fireflies synchronize their blinking, how lasers work, and using chaos to send coded messages.
DJ
May 09, 2011 DJ marked it as flirted-with  ·  review of another edition
Shelves: math, priority
Dang... Promised myself I wouldn't crack this open until classes were over but couldn't resist. Where will the gateway drug to nonlinear dynamics and chaos lead me? Selling sexual favors and stolen TVs for Lyapunov exponents?
Kim
Jul 13, 2008 Kim is currently reading it  ·  review of another edition
Recommends it for: mathletes
Only good if you've had 2 years of college math. I had to put this up though, becuase I AM reading it and I love it. As far as math books go it's very well written so that I can understand it!
Evan
Aug 14, 2014 Evan rated it liked it  ·  review of another edition
Shelves: analysis, math, physics
great source of examples, and a great way to build intuition for more abstract stuff. i could do with more "proofs", but it's not like those are hard to find in other texts.
Arlo
Mar 10, 2009 Arlo rated it it was amazing  ·  review of another edition
Good background in the behavior of nonlinear dynamical systems. A good jumping off point for understanding bifurcation analysis.
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Steven Strogatz is the Schurman Professor of applied mathematics at Cornell University. A renowned teacher and one of the world’s most highly cited mathematicians, he has been a frequent guest on National Public Radio’s Radiolab. Among his honors are MIT's highest teaching prize, membership in the American Academy of Arts and Sciences, and a lifetime achievement award for communication of math to ...more
More about Steven H. Strogatz...

Other Books in the Series

Studies in Nonlinearity (3 books)
  • Exploring Chaos: Theory and Experiment
  • A First Course in Chaotic Dynamical Systems: Theory and Experiment

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