Nonlinear Economic Dynamics

by Tönu Puu

This book studies nonlinear economic dynamics. Formation of spatial patterns, population dynamics in space and time, and spatial waves of business cycles are discussed. The main part dwells on business cycle theory, using a multiplier-accelerator model in a spatial setting with interregional trade. The model is capable of producing frequency locking, quasi-periodic motion, and chaos. The tools of analysis are classical perturbation methods (Poincaré-Lindstedt). Occasionally methods developed for the analysis of chaotic systems, such as symbolic dynamics, and catastrophe theory are used. The book has been revised and enlarged for the 2nd edition

MoreLess

Year of publication:	1991 ; Second, Revised and Enlarged Edition
Authors:	Puu, Tönu
Publisher:	Berlin, Heidelberg : Springer Berlin Heidelberg
Subject:	Dynamische Wirtschaftstheorie \| Economic dynamics \| Nichtlineare Dynamik \| Nonlinear dynamics \| Konjunkturtheorie \| Business cycle theory \| Gleichgewichtstheorie \| Equilibrium theory

Extent:	Online-Ressource (X, 151p. 64 illus) online resource
Type of publication:	Book / Working Paper
Language:	English
Notes:	1: Nonlinear Economic Dynamics1 Dynamics Versus Equilibrium Analysis -- 2 Linear Versus Nonlinear Modelling -- 3 The Tools of Analysis -- 4 The Choice of Models -- 2: Spatial Pattern Formation -- 1 Scientific Explanations -- 2 Optimal Patterns -- 3 Structurally Stable Patterns -- 4 Conclusion -- 3: Population Dynamics -- 1 The Original Hotelling Model -- 2 Growth -- 3 Diffusion -- 4 Growth and Diffusion -- 5 Structural Stability -- 6 Conclusion -- 7 Appendix: Model with Endogenous Capital -- 4: Business Cycles -- 1 The Multiplier-Accelerator Model -- 2 Spatial Models -- 3 The Two-Region Model -- 4 The Forced Oscillator -- 5 Chaos -- 6 Conclusion -- 5: Chaotic Cycles -- 1 First Discrete Model -- 2 The Cubic Iterative Map -- 3 Brownian Random Walk -- 4 Digression on Order and Disorder -- 5 The General Model -- 6 Conclusion -- 7 Appendix: Digression on the Rationale of the Cubic -- References.
ISBN:	978-3-642-97291-1 ; 978-3-642-97293-5
Other identifiers:	10.1007/978-3-642-97291-1 [DOI]
Source:	ECONIS - Online Catalogue of the ZBW

Persistent link: https://www.econbiz.de/10013522291