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Attractors, Bifurcations, and Chaos

Nonlinear Phenomena in Economics

Authors: Puu, Tönu

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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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eBook 67,40 €
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  • ISBN 978-3-662-04094-2
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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)


Table of contents (13 chapters)

Table of contents (13 chapters)

Buy this book

eBook 67,40 €
price for Spain (gross)
  • ISBN 978-3-662-04094-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
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Bibliographic Information

Bibliographic Information
Book Title
Attractors, Bifurcations, and Chaos
Book Subtitle
Nonlinear Phenomena in Economics
Authors
Copyright
2000
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-662-04094-2
DOI
10.1007/978-3-662-04094-2
Edition Number
1
Number of Pages
XII, 507
Number of Illustrations
184 b/w illustrations
Topics