- Hardcover: 432 pages
- Publisher: Academic Press; 3 edition (March 26, 2012)
- Language: English
- ISBN-10: 0123820103
- ISBN-13: 978-0123820105
- Product Dimensions: 6.3 x 1.2 x 9.1 inches
- Shipping Weight: 1.8 pounds (View shipping rates and policies)
- Average Customer Review: 9 customer reviews
- Amazon Best Sellers Rank: #346,624 in Books (See Top 100 in Books)
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Differential Equations, Dynamical Systems, and an Introduction to Chaos, Third Edition 3rd Edition
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Oh thats right, what am I reviewing, It arrived relatively quickly, and was in excellent shape.
There is a progressive increase in complexity proceeding from one dimensional linear autonomous differential equations, to linearisation of non-linear equation, qualitative assessments through analysis of equilibrium points, Poincare maps. The section introducing chaos (focussing on hallmarks of density of periodic orbits, transitivity and sensitivity to initial conditions) is very interesting. I found the chaotic behaviour of logistic map and relation (homeomorphism) to Cantor sets very interesting.
It is a very good textbook and I look forward to a time when I can maximize my learning by diving into the explorations (esp. with Mathematica).
At the time that I read this book, I had only taken an introductory class on ODEs, and a pretty light one at that. With some googling and supplemental exercises, I got through the material alright. I particularly appreciated the useful examples, which I still find myself consulting now and then, especially while preparing for lectures. I highly recommend it.