Rating: 
Summary: Intuitive introduction, lacks rigor
Review: This is a fairly friendly, intuitive introduction to non-linearity, with an emphasis on bifurcations. There is a very brief discussion of fractals. It is probably most suitable for a 3rd or 4th year course. The level of mathematical rigor is a bit low, which will make the book easier for engineers and physicists but may leave mathematicians unprepared for a more advanced course.
Rating:
Summary: Great book but...
Review: This is a great book - clear explanations, lots of examples and exercises and helpful references and index. However, answers to selected exercises is really annoying - when will publishers insist on a full set of solutions?Having programs to plot the figures in the book would have helped in understanding the material. If you want Mathematica programs - see Wolframs "The Mathematica Book". For Maple and MATLAB programs, see Lynch's Dynamical Systems books. Strogatz's Sync book is a marvelous read.
Rating: 
Summary: A little complex...
Review: This is an excelent text with challenging problems (which you should work at for a while and not give up!)and clear explanations. The book explains a mostly geometric approach, and leaves the ananlytical side to you. Buy this book even if you've never heard of "Nonlinear Dynamics". You'll be glad you did!
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