Table of Contents

1. Statics and dynamics: some elementary concepts; 2. Review of linear systems; 3. Stability of fixed points; 4. Invariant and attracting sets, periodic and quasiperiodic orbits; 5. Local bifurcations; 6. Chaotic sets and chaotic attractors; 7. Characteristic exponents, fractals, homoclinic orbits; 8. Transition to chaos; 9. The ergodic approach; 10. Deterministic systems and stochastic processes.

Promotional Information

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

About the Author

Alfredo Medio is currently Professor of Mathematical Economics at the University 'Ca' Foscari' of Venice and Director of the International Center of Economics and Finance at the Venice International University. After receiving a Ph.D. in Economics from Cambridge University he taught at several universities around the world, including the New School for Social Research (New York), the Ecole of Hautes Etudes in Sciences Sociales (Marseilles), Duke University and the University of Paris. He also served as Economic Affairs Officer of UNCTAD (Geneva). Professor Medio is the author of numerous articles published in learned journals and of the book Chaotic Dynamics: Theory and Applications to Economics published by Cambridge University Press in 1992. (Date of birth: 13 February 1938) Marji Lines is currently Associate Professor of Economics at the University of Udine (Italy). Since completing a Ph.D. in Economics at the University of Utah (Salt Lake City), she has taught courses in Economics, Econometrics and Mathematical Economics, principally at the University of Udine, but also at Duke University (Durham, NC) and Deakin University (Melbourne). She has been a Visiting Scholar at the Santa Fe Institute and the Faculty of Economics and Politics, Cambridge University and has published articles on economic theory and environmental economics in journals and collections. (Date of birth: 30 June 1951)

Reviews

'… the book is well written and contains lots of useful information. It will serve as a good reference on dynamical systems both for students and researchers.' Zentralblatt für Mathematik und ihre Grenzgebiete Mathematics Abstracts