Introduction to Stability Analysis of Discrete Dynamical Systems

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Introduction to Stability Analysis of Discrete Dynamical Systems

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Oded Galor (Brown University & Hebrew 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 Macroeconomics with number 0409011.

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Length: 70 pages
Date of creation: 14 Sep 2004
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Handle: RePEc:wpa:wuwpma:0409011

Note: Type of Document - pdf; pages: 70
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Find related papers by JEL classification:
C62 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Existence and Stability Conditions of Equilibrium
O40 - Economic Development, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - General

This paper has been announced in the following NEP Reports:

NEP-ALL-2004-09-30 (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)
Galor, Oded & Ryder, Harl E., 1989. "Existence, uniqueness, and stability of equilibrium in an overlapping-generations model with productive capital," Journal of Economic Theory, Elsevier, vol. 49(2), pages 360-375, December. [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.)

Frank Hespeler, 2008. "Solution Algorithm to a Class of Monetary Rational Equilibrium Macromodels with Optimal Monetary Policy Design," Computational Economics, Springer, vol. 31(3), pages 207-223, April. [Downloadable!] (restricted)

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This page was last updated on 2009-11-3.

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