Attractors, Bifurcations, & Chaos

Nonlinear Phenomena in Economics

Inbunden, Engelska, 2003

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The first part of this book is an introduction to the mathematical methods of modern nonlinear dynamics. It deals with differential equations, ordinary and partial, iterated maps, and bifurcation theory. The second part focuses applications to economics and regional science. Topics such as business cycles, oligopoly, interregional trade, and economic development theory are included. Bifurcation analysis, and studies of the various attractors, with their basins, provide the core, both of the background material and the applications. Coexistence of attractors and multiplicity of development paths are emphasized throughout. The chapters devoted to spatial applications focus the emergence of geographical patterns.

Produktinformation

Utgivningsdatum2003-07-10
Mått155 x 235 x undefined mm
FormatInbunden
SpråkEngelska
Antal sidor549
Upplaga2
FörlagSpringer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN9783540402268

Tillhör följande kategorier

Nationalekonomi inom Ekonomi och ledarskap
Matematik inom Naturvetenskap och teknik

1 Introduction.- 2 Differential Equations: Ordinary.- 3 Differential Equations: Partial.- 4 Iterated Maps or Difference Equations.- 5 Bifurcation and Catastrophe.- 6 Monopoly.- 7 Duopoly and Oligopoly.- 8 Business Cycles: Continuous Time.- 9 Business Cycles: Continuous Space.- 10 Business Cycles: Discrete Time.- 11 Dynamics of Interregional Trade.- 12 Development: Increasing Complexity.- 13 Development: Multiple Attractors.- References.- List of Figures.

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)