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Attractors, Bifurcations, and Chaos

Nonlinear Phenomena in Economics

  • Book
  • © 2000

Overview

Authors:
  1. Tönu Puu

    1. Department of Economics, Umeå University, Umeå, Sweden

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  • Guide to the methods for nonlinear analysis

  • Introduction to the complexity of economic evolution and emergent structures

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Table of contents (13 chapters)

  1. Front Matter

    Pages I-XII
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  2. Introduction

    • Tönu Puu
    Pages 1-8

  3. Differential Equations: Ordinary

    • Tönu Puu
    Pages 9-79

  4. Differential Equations: Partial

    • Tönu Puu
    Pages 81-145

  5. Iterated Maps or Difference Equations

    • Tönu Puu
    Pages 147-194

  6. Bifurcation and Catastrophe

    • Tönu Puu
    Pages 195-216

  7. Monopoly

    • Tönu Puu
    Pages 217-237

  8. Duopoly and Oligopoly

    • Tönu Puu
    Pages 239-276

  9. Business Cycles: Continuous Time

    • Tönu Puu
    Pages 277-335

  10. Business Cycles: Continuous Space

    • Tönu Puu
    Pages 337-360

  11. Business Cycles: Discrete Time

    • Tönu Puu
    Pages 361-406

  12. Dynamics of Interregional Trade

    • Tönu Puu
    Pages 407-433

  13. Development: Increasing Complexity

    • Tönu Puu
    Pages 435-466

  14. Development: Multiple Attractors

    • Tönu Puu
    Pages 467-491

  15. Back Matter

    Pages 493-507
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Keywords

About this book

The present book relies on various editions of my earlier book "Nonlinear Economic Dynamics", first published in 1989 in the Springer series "Lecture Notes in Economics and Mathematical Systems", and republished in three more, successively revised and expanded editions, as a Springer monograph, in 1991, 1993, and 1997. The frrst three editions were focused on applications. The last was considerably different, by including some chapters with mathematical background material (ordinary differential equations and iterated maps), so as to make the book more self-contained and suitable as a textbook for economics students of dynamical systems. To the same pedagogical purpose, the number of illustrations were expanded. The author also prepared some of the software used in producing the illustrations for use by the readers on the PC, by making the programs interactive and providing them with a user interface. Simulations are essential, when dealing with nonlinear systems, where closed form solutions do not exist. Even theoretical science then becomes experimental. (The software prepared for that book can still be acquired directly from the author at the address tonu. puu@econ. umu. se. ) The present book has been so much changed, that I felt it reasonable to give it a new title. There are two new mathematics chapters (on partial dif­ ferential equations and on catastrophe theory), making the mathematical back­ ground material fairly complete. There is also an account of the recently emergent method of critical lines and absorbing areas for non-invertible maps added to the chapter on maps.

Reviews

From the reviews of the second edition:

"Its unifying theme is the analysis of economic dynamics when we drop the assumptions of linearity and use the results of recently developing nonlinear dynamic science. … the book is carefully organized and written in a friendly style. It is interesting and smooth reading. … It is useful to graduate students, researchers and academics … . The book is written in a readable fashion, all details are explained clearly. Therefore, the book is a must for anyone interested in nonlinear economic dynamics." (Akio Matsumoto, Journal of Economic Behavior and Organization, Vol. 58, 2005)

Authors and Affiliations

  • Department of Economics, Umeå University, Umeå, Sweden

    Tönu Puu

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