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Introduction to Stability Analysis of Discrete Dynamical Systems

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  • Oded Galor

    (Brown University & Hebrew University)

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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File URL: http://128.118.178.162/eps/mac/papers/0409/0409011.pdf
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Bibliographic Info

Paper provided by EconWPA in its series Macroeconomics with number 0409011.

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

Note: Type of Document - pdf; pages: 70
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Web page: http://128.118.178.162

Related research

Keywords: Discrete Dynamical Systems; Difference Equations; Global Stability; Local Stability; Non-Linear Dynamics; Stable Manifolds;

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  1. 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.
  2. 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.
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Cited by:
  1. Frank Hespeler, 2008. "Solution Algorithm to a Class of Monetary Rational Equilibrium Macromodels with Optimal Monetary Policy Design," Computational Economics, Society for Computational Economics, vol. 31(3), pages 207-223, April.

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