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Discrete Dynamical Systems

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Author Info

  • 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.

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File URL: http://128.118.178.162/eps/ge/papers/0504/0504001.pdf
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Bibliographic Info

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
Date of revision:
Handle: RePEc:wpa:wuwpge:0504001

Note: Type of Document - pdf; pages: 80
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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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References

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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.
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Citations

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Cited by:
  1. Ines Lindner & Holger Strulik, 2012. "From Tradition to Modernity: Economic Growth in a Small World," Tinbergen Institute Discussion Papers 12-035/1, Tinbergen Institute.
  2. Erasmo Papagni, 2008. "The Long-run Effects of Household Liquidity Constraints and Taxation on Fertility, Education, Saving, and Growth," Discussion Papers 11_2008, D.E.S. (Department of Economic Studies), University of Naples "Parthenope", Italy.
  3. Quamrul Ashraf & Oded Galor, 2011. "Cultural Diversity, Geographical Isolation, and the Origin of the Wealth of Nations," Department of Economics Working Papers 2011-15, Department of Economics, Williams College.
  4. Hazan, Moshe & Maoz, Yishay D., 2010. "Women's lifetime labor supply and labor market experience," Journal of Economic Dynamics and Control, Elsevier, vol. 34(10), pages 2126-2140, October.
  5. Maria José Gil-Moltó & Dimitrios Varvarigos, 2013. "Endogenous Market Structure, Occupational Choice, and Growth Cycles," Discussion Papers in Economics 13/05, Department of Economics, University of Leicester.
  6. Kunieda, Takuma, 2008. "Asset bubbles and borrowing constraints," Journal of Mathematical Economics, Elsevier, vol. 44(2), pages 112-131, January.
  7. Oded Galor, 2009. "2008 Lawrence R. Klein Lecture –Comparative Economic Development: Insights from Unified Growth Theory," Working Papers 2009-10, Brown University, Department of Economics.
  8. Areendam Chanda, 2002. "Can Skill Biased Technological Progress Have a Role in the Decline of the Savings Rate?," Macroeconomics 0202004, EconWPA.
  9. Dalgaard, Carl-Johan & Strulik, Holger, 2011. "The Physiological Foundations of the Wealth of Nations," Hannover Economic Papers (HEP) dp-480, Leibniz Universität Hannover, Wirtschaftswissenschaftliche Fakultät.
  10. Ines Lindner & Holger Strulik, 2012. "From Tradition to Modernity: Economic Growth in a Small World," Tinbergen Institute Discussion Papers 12-035/1, Tinbergen Institute.
  11. Brian Snowdon, 2008. "Towards a Unified Theory of Economic Growth: Oded Galor on the Transition from Malthusian Stagnation to Modern Economic Growth," Working Papers 2008-4, Brown University, Department of Economics.
  12. repec:diw:diwfin:diwfin01020 is not listed on IDEAS
  13. Brian Snowdon, 2008. "Towards a Unified Theory of Economic Growth," World Economics, World Economics, Economic & Financial Publishing, 1 Ivory Square, Plantation Wharf, London, United Kingdom, SW11 3UE, vol. 9(2), pages 97-151, April.
  14. Maria José Gil-Moltó & Dimitrios Varvarigos, 2012. "Industry Dynamics and Indeterminacy in an OLG Economy with Endogenous Occupational Choice," Discussion Papers in Economics 12/09, Department of Economics, University of Leicester, revised Sep 2012.

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