An Introduction to Nonlinear Dynamical Systems

This book gives an introduction into the ideas of dynamical systems. Its main emphasis is on the types of behavior which nonlinear systems of differential equations can exhibit. It is divided into two parts which can be read in either order: the first part treats the aspects coming from systems of nonlinear ordinary differential equations, and the second part is comprised of those aspects dealing with iteration of a function. For professionals with a strong mathematics background.

Robinson (Northwestern University) 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. Annotation © 2004 Book News, Inc., Portland, OR