Robinson (Northwestern U.) studies systems of nonlinear ordinary differential equations then treats those aspects dealing with iteration of a function. The undergraduate textbook describes the analysis of nonlinear differential equations by means of phase portraits, periodic orbits, chaotic attractors, periodic points of one-dimensional maps, and invariant sets for higher dimensional maps. Originally published by Pearson Education in 2004, the second edition adds new systems of differential equations applications. Annotation ©2013 Book News, Inc., Portland, OR (booknews.com)