Non-linear Dynamics: A Primer

A systematic and comprehensive introduction to the study of nonlinear dynamical systems, in both discrete and continuous time, for nonmathematical students and researchers working in applied fields. An understanding of linear systems and the classical theory of stability are essential although basic reviews of the relevant material are provided. Further chapters are devoted to the stability of invariant sets, bifurcation theory, chaotic dynamics and the transition to chaos. In the final two chapters the authors approach the subject from a measure-theoretical point of view and compare results to those given for the geometrical or topological approach of the first eight chapters. Includes about one hundred exercises. A Windows-compatible software programme called DMC, provided free of charge through a website dedicated to the book, allows readers to perform numerical and graphical analysis of dynamical systems. Also available on the website are computer exercises and solutions to selected book exercises. See www.cambridge.org/economics/resources

An advanced undergraduate and graduate textbook on the theory of nonlinear dynamical systems.

Booknews

Writing for economics students and other non-mathematical students, Medio (mathematical economics, Universit Ca' Foscari di Venezia, Italy) and Lines (economics, Universit di Udine, Italy) introduce the study of nonlinear dynamical studies. Results deemed most relevant for applications are the focus of the work, which passes over much of the more specialized portions of the field. Significant time is spent on a discussion of stability and attention is paid to chaotic sets and attractors. Specific applications are largely ignored with the material veering more towards theory. Annotation c. Book News, Inc., Portland, OR (booknews.com)

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 exercises and answers to selected book exercises. A textbook on the theory of nonlinear dynamical systems for non-mathematical final-year undergraduate or graduate students, or 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