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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.

edited Sep 17 2010 at 23:58

mathphysicist
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asked Sep 17 2010 at 21:53

Aaron
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Romeo · Answer 1 · 2010-09-18 00:51:27Z UTC

You might want to specify about exactly what your background is and what you want to learn in order to get more effective answers.

But given what you've asked for, I'd say the best place to learn about chaos and dynamical systems is absolutely: Steven Strogatz' Nonlinear Dynamics And Chaos: With Applications To Physics, Biology, Chemistry, And Engineering

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.

Enjoy - I think this book is wonderful!

mathphysicist · Answer 2 · 2010-09-18 00:24:13Z UTC

3

Another introductory book worth looking at is

An introduction to chaotic dynamical systems by Robert Devaney.

answered Sep 18 2010 at 0:24

mathphysicist
3,506●14●29

Dick Palais · Answer 3 · 2010-09-17 22:56:27Z UTC

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.

Steve Huntsman · Answer 4 · 2010-09-18 00:39:54Z UTC

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 Thermodynamics of chaotic systems.

sleepless in beantown · Answer 5 · 2010-09-19 01:11:36Z UTC

Here's a quick on-line find of a page about population dynamics and chaos in insects:

http://home.comcast.net/~sharov/PopEcol/lec9/stabil.html

It's by a theoretical biologist, Alexei Sharov, at the NIA.

He also has other pages that could be of interest to you, including a summary of mathematical modeling of "forest insect dynamics":

http://home.comcast.net/~sharov/popechome/model/model.html

Recommended book for introduction to Chaotic dynamics? (application in probability distributions)

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