Overview of ways in which complex dynamics arise in nonlinear dynamical systems. Topics include bifurcation theory, universality, Poincare maps, routes to chaos, horseshoe maps, Hamiltonian chaos, fractal dimensions, Liapunov exponents, and the analysis of time series. Examples from biology, mechanics, and other fields.

An invited collection of peer-reviewed papers surveying key areas of Roger Needham's distinguished research career at Cambridge University and Microsoft Research.