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Autor: Tönu Puu
ISBN-13: 9783540402268
Einband: Book
Seiten: 549
Gewicht: 960 g
Format: 243x167x34 mm
Sprache: Englisch

Attractors, Bifurcations and Chaos

Nonlinear Phenomena in Economics
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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.
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The first part of this book is an introduction to mathematical methods in modern nonlinear dynamics and deals with differential equations. Phenomena such as bifurcations and deterministic chaos are given considerable emphasis, both in the methodological part, and in the second part, containing various applications in economics and in regional science. Coexistence of attractors and the multiplicity of development paths in nonlinear systems are central topics. The applications focus on issues such as business cycles, oligopoly, interregional trade dynamics, and economic development theory.
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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.

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Autor: Tönu Puu
ISBN-13 :: 9783540402268
ISBN: 3540402268
Erscheinungsjahr: 10.07.2003
Verlag: Springer-Verlag GmbH
Gewicht: 960g
Seiten: 549
Sprache: Englisch
Auflage 03002, 2. Auflage. 2003
Sonstiges: Buch, 243x167x34 mm, 209 Abbildungen