Discrete Dynamical Systems

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Discrete Dynamical Systems

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Oded Galor (Brown University)

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Oded Galor

Abstract

This manuscript analyzes the fundamental factors that govern the qualitative behavior of discrete dynamical systems. It introduces methods of analysis for stability analysis of discrete dynamical systems. The analysis focuses initially on the derivation of basic propositions about the factors that determine the local and global stability of discrete dynamical systems in the elementary context of a one dimensional, first-order, autonomous, systems. These propositions are subsequently generalized to account for stability analysis in a multi-dimensional, higher-order, non-autonomous, nonlinear, dynamical systems.

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Paper provided by EconWPA in its series GE, Growth, Math methods with number 0504001.

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Length: 80 pages
Date of creation: 01 Apr 2005
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Handle: RePEc:wpa:wuwpge:0504001

Note: Type of Document - pdf; pages: 80
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Find related papers by JEL classification:
C6 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming
D5 - Microeconomics - - General Equilibrium and Disequilibrium
D9 - Microeconomics - - Intertemporal Choice and Growth

This paper has been announced in the following NEP Reports:

NEP-ALL-2005-04-16 (All new papers)

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

Galor, Oded, 1992. "A Two-Sector Overlapping-Generations Model: A Global Characterization of the Dynamical System," Econometrica, Econometric Society, vol. 60(6), pages 1351-86, November. [Downloadable!] (restricted)

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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

Areendam Chanda, 2002. "Can Skill Biased Technological Progress Have a Role in the Decline of the Savings Rate?," Macroeconomics 0202004, EconWPA. [Downloadable!]
Papagni, Erasmo, 2008. "The Long-run Effects of Household Liquidity Constraints and Taxation on Fertility, Education, Saving and Growth," MPRA Paper 12793, University Library of Munich, Germany. [Downloadable!]

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