Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering 2nd Edition by Steven H. Strogatz (PDF)

Description

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.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐This book provides a means to expressing in art mathematical formulas that are bound in the language of numbers and the grammatical propositions they demonstrate with symbols like , (subtract, divide, multiply etc.) I couldn’t progress in my thinking about theories like “What is gravity” until I got rid of notebooks. Doing art with sculpture and light, and flowing water helped change the number patterns into something else that I could use to think. Art becomes the platform for thinking. Music also helps suspend the components of a formula while other parts of the brain sort and assess the theory to raise it all to a level of understanding. The photos demonstrate an electromagnetic field that I dismantled. The fluorescent light sets off the alarm on a gauss meter it is so strong . The metal sink would interact with the water and deposit minerals extracted onto the surface of the sink. The application of a barrier that is non metallic stopped the electromagnet field from interacting with the water. The earth is a salt solution. It behaves like a battery and a sound wave through the axis of the earth may be what interacts with a gear driven spiral to turn the earth. When the sun stops shining on part of the earth the battery effect of the electromagnetic field is shut off. I am thinking that gravity is being defined by these interactions. My scientific peer group has ceased to exist and this book is a replacement.

⭐In the same way that Machine Learning helps you frame problems in the real world as data problems where you need to figure out what your label is given your input, this book was transformational to how I see the world around me.At a high level you can describe physical phenomena around you using differential equations, many books do this already by showing you worked out examples or will show you techniques for how to solve differential equations without talking about the equations themselves too much. This book is different in that it helps you refine your intuition to figure out which differential equations would describe some physical process around you, how to visualize and gain intuition around how those differential equations work and finally help you categorize the complexity of different kinds of differential equations and how to go about solving them in a tractable way.Now I see differential equations around me all the time, it’s kinda weird but I like it.

⭐An absolute masterpiece. All the knowledge one would really need to get started is Calculus. Well, to fully appreciate this book and learn from it, having some experience in ordinary differential equations and some rudimentary analysis is a huge plus. I say this because this book trades depth for accessibility, that is, in order for it to be widely comprehensive, it tends to only scratch the surface on most topics. However, with some basic experience in the previously mentioned subjects, one could understand the material at a deeper level.The exercises are wonderful, and I encourage anyone to learn XPP to visualize many of the systems encountered. XPP a piece of software written by G. Bard Ermentrout in which you can plot bifurcation diagrams, solutions to systems, phase diagrams, etc (although ancient, there is a plethora of information and tutorial webpages on his site). You can also use Matlab (with Mathcont), but XPP is more straightforward (a bit janky) and FREE.Whether you identify as pure, applied, both or none, I highly recommend any curious academic to go through this book.

⭐Muy buen libro, bien pedagógicoEstá perfecto para iniciar en el mundo de la física y matemática no lineal.Soy licenciada en física y tengo que recurrir varias veces a este libro para estudiar. 100% recomendado

⭐Not found.

⭐This textbook is great for helping to teach the concepts of dynamics, but I would not recommend using it to teach yourself. Dr. Strogatz is a fantastic communicator of mathematics. In my opinion you can only go so far into explaining dynamics through the written word, and this book (on occasion) has left me with asking more questions rather than answering them.I do enjoy the addition of examples for the second edition, however there is not much else I could see in terms of making the book stand out as a better purchase than the original. For instance, I am often annoyed by some of the hand waving calculations that are used in the examples (certainly present in both editions). I realize that fully explained examples would leave the book about twice as thick, but it is that caliber of textbook which I find essential for effectively communicating this kind of math.Overall, a good book to have, but I still don’t think of it as the best (still haven’t found one for this topic).

⭐This book presents nonlinear dynamics in a manner that should be accessible to anyone that has been acquainted with ODEs; virtually anyone will be able to take something helpful away. For the more mathematically inclined, this book will probably be a bit boring and slow-paced; texts that demand more mathematical maturity might be more enlightening.

⭐I study Complexity Science, and I have a collection of books authored by Professor Strogatz. This is a standard college textbook that I’ll be using to further advance my knowledge of chaos, nonlinear mathematics. and complex systems.

⭐This book is great. In my nonlinear dynamics class, we didn’t quite make it through all of the book’s material, but I liked the content and the book enough to finish out the last 100 pages over my break. It’s very readable, more than most text books. But there are still the usual problems for practice as well.

⭐I purchased this at the same time that i purchased Jordan & Smith’s Nonlinear Ordinary Differential Equations. In comparison, I found that whilst they don’t cover exactly the same material, where they do overlap, Strogatz’s book was better structured, had clearer explanations and fewer errors. There is also a series of Youtube videos of lectures given by Strogatz which covers some of the material in this book. if you have the option or you can only afford one, my recommendation would be to go with Strogatz’s book.

⭐For someone who does not know much about the topic, I found that the book was very readable and insightful. Engaging style of writing with interesting examples. Highly recommended

⭐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!

⭐Very well written. Good exercises. Strongly recommended.

⭐Make very complicated thing accessible and very readable, but if you want serious math then this is not the book for you, however, if you want to understand chaos with some real math without going very deep this is the book for you

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