Nonlinear dynamics and Chaos
by Steven H. Strogatz, Steven Strogatz · first published 1994
83% recommend17% neutral
Why HN recommends it
Approachable, intuition-first textbook on dynamical systems, with clear motivating examples and graphical arguments instead of heavy proofs; suits beginners and anyone with some differential equations background.
Summarised by Claude from recommending comments
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. Thes
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…mathematics, I would recommend: 1. "What Is Mathematics? An Elementary Approach to Ideas and Methods" by Courant and Robbins -- a general book on mathematics in the spirit of Feynman lectures. 2. Strogatz's "Nonlinear Dynamics and Chaos" -- it's a bit narrow in scope (mostly dynamical systems with a little bit of chaos/fractals thrown in) but very good nonetheless. 3. Tristan Needham, "Visual Complex Analysis", beautiful introduction…
on “Ask HN: Are there books for mathematics like Feynman's lectures on physics?” ↗…and manages to convey many of the ideas at a conceptual level without getting technical. And if you enjoy that, you might also like Strogatz's "Sync." For slightly more technical treatment, Strogatz's Nonlinear Dynamics and Chaos is now a standard text. It isn't terribly technical and is quite well written and (in my view) easy to read for anyone with a background in vector calculus, diff eqs, & perhaps a little bit of linear…
on “Strange Attractors” ↗I'm taking a course on it right now and most people I've seen use Steven Strogatz's book (Nonlinear Dynamics and Chaos). He mostly focuses on continuous systems, but the end of the book has a lot on discrete stuff like logistic maps and fractals. His book is definitely the book on stuff like this, but mostly oriented…
on “Ask YC: Dynamic systems (text)books recommendation?” ↗If they have been exposed to diff eq at all I can recommend Strogatz Nonlinear Dynamics and Chaos. It's a very interesting subject, and the text is one of the most approachable I've come across for any subject.
on “Ask HN: Recommend a maths book for a teenager?” ↗Nonlinear Dynamics and Chaos by Steven Strogatz is pretty good. Nonlinear dynamics is one of the backbones of complex systems, so it's worth delving into. Graph theory/topology is a close second. Complex Networks by Latora, Nicosia,…
on “Introduction to the Modeling and Analysis of Complex Systems” ↗Here are 3 applied math gems: 1) Nonlinear Dynamics and Chaos by Strogatz completely changed my relationship with applied math. I'd studied diffyqs and PDEs earlier but that was under duress and hasn't been particularly useful. Traditional books don't tell you that…
on “Ask HN: The book that did it for you in math and/or CS?” ↗Nonlinear dynamics and chaos by Strogatz. He really takes the time to explain concepts clearly and unlike any other math book I've read, he proves certain ideas graphically and considers it good enough, without having to write out…
on “Ask HN: Math books you recommend just for the way they are written?” ↗For people interested in the related math, "Nonlinear Dynamics and Chaos" by Steven Strogatz is a great book! Pdfs abound online.
on “Systems and Delays” ↗> I'd be interested in any recommendations you have for books about chaos/non-linear systems Strogatz's Nonlinear Dynamics and Chaos might be a good place to start. It's not mathematically sophisticated at all, e.g. there are few proofs and topological methods are at best implicitly present; but it still has some real mathematical…
on “Gleick's new book on information theory” ↗…head with non linear systems ( this area has been trendy and fruitful in the quantitative finance community since hte late 90's) I can second the post's book recommendation.... http://www.amazon.com/Nonlinear-Dynamics-And-Chaos-Applicati... In fact everything by that author is great, buy and read it all:) http://www.amazon.com/Steven-H.-Strogatz/e/B001KHB290/ref=dp... Just make sure you've read up on your differential equations…
on “Animated Logistic Maps of Chaotic Systems in R” ↗Steven Strogatz's Nonlinear Dynamics and Chaos [1] is a great introduction. [1]: https://westviewpress.com/books/nonlinear-dynamics-and-chaos...
on “Ask HN: Good resources to learn Chaos Theory” ↗I'm not sure how well it would fit as a first course, but the thing that really helped me understand what's behind differential equations is Steven Strogatz's wonderful book "Nonlinear Dynamics And Chaos"[0]. [0] https://www.amazon.com/gp/aw/d/0813349109/
on “Lessons I Wish I Had Learned Before Teaching Differential Equations (1997) [pdf]” ↗…but I'm currently going through Introduction to Counting and Probability and I'm really enjoying it. Some others (not AOPS series): Nelsen - Proofs Without Words Polya - How to Solve it Strogatz - Nonlinear Dynamics and Chaos
on “Ask HN: Recommend a maths book for a teenager?” ↗I suppose it only scratches the surface, but Strogatz's "Nonlinear dynamics and Chaos" is a great read.
on “Solving the chaotic three-body problem using deep neural networks (2019)” ↗The author of this paper, Steven Strogatz, is also the author of Nonlinear dynamics and Chaos. This is a seriously good math textbook, and really accessible to beginners. I highly recommend the book.
on “Modeling suggests friendships may lead to lopsided elections” ↗