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Nonlinear Dynamics

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Nonlinear Dynamics

Nonlinear Dynamics

A Primer
Alfredo Medio, Universita Ca'Foscari, Venezia
Marji Lines, Università degli Studi di Udine, Italy
October 2001
Available
Paperback
9780521558747
    Description

    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

    • Medio is a star name in the dynamics field, with a track record of major sales success with the Press
    • The latest book in the Press's highly successful dynamics program
    • Part of a complete teaching unit, including exercises, an associated website, and a Windows-compatible software program to offer a fuller understanding of dynamics

    Reviews & endorsements

    '… 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

    See more reviews

    Product details

    October 2001
    Paperback
    9780521558747
    316 pages
    244 × 170 × 17 mm
    0.61kg
    Available

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    Contents

    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.
      • Show more
    Courses
    Resources
    Resources for
    Type
    Answers
    Size: 843.86 KB
    Type: application/pdf
    Nonlinear Dynamics Computer Exercises
    Size: 2.04 MB
    Type: application/pdf
    Macroeconomics Computer Exercises
    Size: 57.06 KB
    Type: application/pdf
    Guide
    Size: 641.69 KB
    Type: application/pdf
    Resources on author's website
    Additional Information
    About the authors
      Authors
    • Alfredo Medio , Universita Ca'Foscari, Venezia

      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 (Cambridge University Press, 1992).

    • Marji Lines , Department of Statistics, University of Udine, Italy

      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.

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