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Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering (Studies in Nonlinearity)
by
Steven H. Strogatz (Goodreads Author)
This textbook is aimed at newcomers to nonlinear dynamics and chaos. The presentation stresses analytical methods, concrete examples, and geometric intuition. 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
...more
Paperback, 512 pages
Published
January 19th 2001
by Westview Press
(first published 1994)
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Community Reviews
(showing 130)
I skimmed this book while watching the author's corresponding lecture series on YouTube: https://www.youtube.com/playlist?list....
I found this to be an excellent introduction to the subject, with clear explanations and extremely good organisation of the material. Examples build on each other in a logical fashion and make the pure mathematics concrete by using genuine scientific applications. The subject itself is fascinating and surprisingly mathematically tractable. The early chapters could be handled by anyone with Alevel mathematics. Infrequent references to esoteric subjects like pointset topology are made for the sa
...more
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.
Apr 06, 2017
Daniel Brandtner
rated it
really liked it
·
review of another edition
Shelves:
nonfiction
Strogatz delivers a readable and comprehensible introduction to nonlinear systems and chaos. He prefers intuitive explanations and examples to rigorous mathematical proofs (though he always indicates where one could find more detailed analysis).
Apr 17, 2008
Johannes
rated it
it was amazing
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
Excellent mathematical introduction to the dynamics of nonlinear 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 unidimensional 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
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
Cons: The book is harder to use as a reference than typi ...more
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 deixálo 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
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 deixálo 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
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
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
Very clear and engaging text on nonlinear dynamics with lots of great examples from realworld 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
One little gripe: the figures are sometimes kind of lousy or c ...more
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
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
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
The book, though written in an almost literary fashion, would probab ...more
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
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.
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.
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.
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.
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.
Oct 08, 2008
DJ
marked it as flirtedwith
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?
Feb 24, 2011
Particle_Person
rated it
it was amazing
·
review of another edition
Shelves:
nonfiction,
technical
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.
May 05, 2013
Reem Sleem
marked it as toread
i need to buy this important book
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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
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More about Steven H. Strogatz...
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