From the reviews:

“Today numerous books dealing with either dynamical systems and/or chaos but this one stands out in many ways. Its scope, depth and breath give it a feeling of a must read. … The exercises per chapter run from simple and straightforward to extended research questions forming time-consuming open challenges for the interested reader. All in all a great text written in a very good style for which the authors deserve to be complemented.” (Henk Nijmeijer, Nieuw Archief voor Wiskunde, Vol. 14 (4), December, 2013)

“This work … takes a different tack compared to others. … geared for upper-level undergraduate and graduate students interested in this area of mathematics … . Anyone interested in the field of dynamical systems might like to have this book because of its organization and the ease of finding the often-used examples. Summing Up: Recommended. Upper-division undergraduates through professionals.” (M. D. Sanford, Choice, Vol. 48 (9), May, 2011)

“This book gives a clear and accessible exposition of some of the central concepts addressed by the classical theory of dynamical systems. … The book is very good at bringing out the essence of each concept without unnecessary technical clutter. … this is an excellent book, conveying deep understanding of the subject. It should definitely find its way onto the shelves of the experts, but I also very much recommend it as an excellent supplementary text to a differential equations or dynamical systems course.” (Gregor Kovačič, SIAM Review, Vol. 53 (4), 2011)

“This is a skillfully written guide to the fundamentals of the theory of dynamical systems and chaos aimed at a wide audience. … the book appeals to a wide audience. It can be successfully used by students, researchers and readers with a good background in differential equations, analysis and topology looking for a concise but informative modern reference on dynamical systems and chaos.” (Svitlana P. Rogovchenko, Zentralblatt MATH, Vol. 1218, 2011)