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Discrete Dynamical Systems

Author

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  • Oded Galor

    (Brown 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.

Suggested Citation

  • Oded Galor, 2005. "Discrete Dynamical Systems," GE, Growth, Math methods 0504001, University Library of Munich, Germany.
  • Handle: RePEc:wpa:wuwpge:0504001
    Note: Type of Document - pdf; pages: 80
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    References listed on IDEAS

    as
    1. Galor, Oded, 1992. "A Two-Sector Overlapping-Generations Model: A Global Characterization of the Dynamical System," Econometrica, Econometric Society, vol. 60(6), pages 1351-1386, November.
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    More about this item

    Keywords

    Discrete Dynamical Systems; Difference Equations; Global Stability; Local Stability; Non-Linear Dynamics; Stable Manifolds;
    All these keywords.

    JEL classification:

    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • D5 - Microeconomics - - General Equilibrium and Disequilibrium
    • D9 - Microeconomics - - Micro-Based Behavioral Economics

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