most recent 30 from http://mathoverflow.net 2013-05-21T07:10:36Z http://mathoverflow.net/feeds/question/39153 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/39153/recommended-book-for-introduction-to-chaotic-dynamics-application-in-probabilit Aaron 2010-09-17T21:53:04Z 2010-09-19T01:11:36Z

<p>I'm just starting some research and I need a good introductory book in the topic of chaotic dynamics. Does anyone have a suggestion? Thanks.</p>

http://mathoverflow.net/questions/39153/recommended-book-for-introduction-to-chaotic-dynamics-application-in-probabilit/39160#39160 Dick Palais 2010-09-17T22:56:27Z 2010-09-17T22:56:27Z

<p>It is a very popular topic and there are literally dozens of good texts---a true embarass de richesse. One I like a lot is "Nonlinear Dynamics and Chaos" by Thompson and Stewart (Second Edition) a Wiley book. A book with the same title by Steve Strogatz is also very good, and so is Chaos: An Introduction to Dynamical Systems by Alligood, Sauer, and Yorke. If you are just getting started and want to get a feel for what it is all about, James Glieck's popular classic "Chaos" is a good place to begin. Good luck and have fun. It is a great topic full of interesting ideas.</p>

http://mathoverflow.net/questions/39153/recommended-book-for-introduction-to-chaotic-dynamics-application-in-probabilit/39174#39174 mathphysicist 2010-09-18T00:24:13Z 2010-09-18T00:24:13Z

<p>Another introductory book worth looking at is</p> <p><a href="http://books.google.com/books?id=CjAnY99LwTgC" rel="nofollow">An introduction to chaotic dynamical systems</a> by Robert Devaney.</p>

http://mathoverflow.net/questions/39153/recommended-book-for-introduction-to-chaotic-dynamics-application-in-probabilit/39175#39175 Romeo 2010-09-18T00:39:02Z 2010-09-18T00:51:27Z

<p>You might want to specify about exactly what your background is and what you want to learn in order to get more effective answers.</p> <p>But given what you've asked for, I'd say the best place to learn about chaos and dynamical systems is absolutely: Steven Strogatz' <a href="http://www.amazon.com/Nonlinear-Dynamics-Chaos-Applications-Nonlinearity/dp/0738204536" rel="nofollow">Nonlinear Dynamics And Chaos: With Applications To Physics, Biology, Chemistry, And Engineering</a></p> <p>If you already know what's in this book, you need to re-phrase the question; if you don't, this is what you need to know and where to learn it.</p> <p>Enjoy - I think this book is wonderful!</p>

http://mathoverflow.net/questions/39153/recommended-book-for-introduction-to-chaotic-dynamics-application-in-probabilit/39176#39176 Steve Huntsman 2010-09-18T00:39:54Z 2010-09-18T00:39:54Z

<p>If you want to understand probability measures for dynamical systems, you'll probably want to learn about Sinai-Ruelle-Bowen measures in particular. A good introductory text accessible to undergraduates is Beck and Schlögl's <a href="http://books.google.com/books?id=8G6B3yPpli8C" rel="nofollow"><em>Thermodynamics of chaotic systems</em></a>.</p>

http://mathoverflow.net/questions/39153/recommended-book-for-introduction-to-chaotic-dynamics-application-in-probabilit/39265#39265 sleepless in beantown 2010-09-19T01:11:36Z 2010-09-19T01:11:36Z

<p>Here's a quick on-line find of a page about population dynamics and chaos in insects:</p> <p><a href="http://home.comcast.net/~sharov/PopEcol/lec9/stabil.html" rel="nofollow">http://home.comcast.net/~sharov/PopEcol/lec9/stabil.html</a></p> <p>It's by a theoretical biologist, <a href="http://home.comcast.net/~sharov/alexei.html" rel="nofollow">Alexei Sharov</a>, at the NIA.</p> <p>He also has other pages that could be of interest to you, including a summary of mathematical modeling of "forest insect dynamics":</p> <p><a href="http://home.comcast.net/~sharov/popechome/model/model.html" rel="nofollow">http://home.comcast.net/~sharov/popechome/model/model.html</a></p>