This volume is an introduction to applied nonlinear dynamics and chaos. The emphasis is on teaching the techniques and ideas that will enable students to take specific dynamical systems and obtain some quantitative information about their behavior. The new edition has been updated and extended throughout, and contains an extensive bibliography and a detailed glossary of terms.

0 Introduction.- 1 The Geometrical Point of View of Dynamical Systems: Background Material, Poincaré Maps, and Examples.- 2 Methods for Simplifying Dynamical Systems.- 3 Local Bifurcations.- 4 Some Aspects of Global Bifurcation and Chaos.