This chapter aims to (1) set enough of the mathematics of dynamical systems from the perspective of chaos theory so that the endogenous emergence of chaotic dynamics and other highly complex dynamics are understood, (ii) measures of instability and complexity are explained, (iii) how one tests...

This outstanding collection of William Brock's essays illustrates the power of dynamic modelling to shed light on the forces for stability and instability in economic systems. The articles selected reflect his best work and are indicative both of the type of policy problem that he finds...

The method of reconstructing an n-dimensional system from observations is to form vectors of m consecutive observations, which for m 2n, is generically an embedding. This is Takens's result. The Jacobian methods for Lyapunov exponents utilize a function of m variables to model the data, and the...