This book is a tool for the theoretical and numerical investigation of nonlinear dynamical systems modelled by means of ordinary differential and difference equations. Special attention is given to the analysis and understanding of chaotic dynamics. The work is divided into two parts: a book, comprising a theoretical overview of the subject matter and a number of applications; and an integrated software program (called DMC) together with its manual.

Although the emphasis is laid on dynamical systems arising from economic motivation, and the applications are derived from these systems, both...

This textbook on the theory of nonlinear dynamical systems for nonmathematical advanced undergraduate or graduate students is also a reference book for researchers in the physical and social sciences. It provides a comprehensive introduction including linear systems, stability theory of nonlinear systems, bifurcation theory, chaotic dynamics. Discussion of the measure--theoretic approach to dynamical systems and the relation between deterministic systems and stochastic processes is featured. There are a hundred exercises and an associated website provides a software program, computer...