Chaotic Dynamics
Theory and Applications to Economics

This book is a tool for the theoretical and numerical investigation of nonlinear dynamical systems modelled by means of ordinary differential and difference equations.

Alfredo Medio (Author), Giampaolo Gallo (Author)

9780521484619, Cambridge University Press

Paperback, published 18 May 1995

364 pages, 99 b/w illus.
23.6 x 15.6 x 2.8 cm, 0.575 kg

This book is a tool for the theoretical and numerical investigation of nonlinear dynamical systems modelled by means of ordinary differential and difference equations. 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. Although the emphasis is laid on dynamical systems arising from economic motivation, and the applications are derived from these systems, both the text and the program will also be of use to researchers in other fields of study. The book first discusses the fundamental concepts and methods of chaos theory, and then applies these theoretical results and the facilities provided by the companion software program to models suggested by economic problems.

Preface
Part I. Theory: 1. General introduction: chaos and economics
2. Basic mathematical concepts
3. A user's guide
4. Surfaces of sections and Poincaré maps
5. Spectral analysis
6. Lyapunov characteristic exponents
7. Dimensions
8. Symbolic dynamics
9. Transition to chaos: theoretical predictive criteria
10. Analysis of experimental signals: some theoretical problems
Part II. Applications to Economics: 11. Discrete and continuous chaos
12. Cycles and chaos in overlapping generations models with production
13. Chaos in a continuous-time model of inventory business cycles
14. Analysis of experimental signals
Part III. Software: 15. DMC manual
16. MODEL
17. EVAL
18. PLOT
19. STAT
20. FILES
21. UTIL
22. OPTS
23. QUIT
24. Internal menu commands
25. DMC internal compiler.

Subject Areas: Econometrics [KCH]