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Nonlinear Difference Equations, Bifurcations and Chaos: An Introduction

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Author Info
Jean-Michel Grandmont () (Department of Economics, University Of Venice Cà Foscari)
Abstract

The aim of these lecture notes is to present a few mathematical facts about the bifurcations of nonlinear difference equations, in a concise and simple form that might be useable by economic theorists.

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Publisher Info
Paper provided by University of Venice "Ca' Foscari", Department of Economics in its series Working Papers with number 2008_23.

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Length: 125
Date of creation: 2008
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Handle: RePEc:ven:wpaper:2008_23

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Related research
Keywords: Nonlinear dynamics; Bifurcations; Chaos; Business cycles;

Find related papers by JEL classification:
C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
C61 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Optimization Techniques; Programming Models; Dynamic Analysis
E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles

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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.:
  1. Kennedy, Judy A. & Stockman, David R., 2008. "Chaotic equilibria in models with backward dynamics," Journal of Economic Dynamics and Control, Elsevier, vol. 32(3), pages 939-955, March. [Downloadable!] (restricted)
  2. Gaunersdorfer, A. & Hommes, C.H. & Wagener, F.O.O., 2000. "Bifurcation Routes to Volatility Clustering," CeNDEF Working Papers 00-04, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
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  3. Cass, David & Shell, Karl, 1983. "Do Sunspots Matter?," Journal of Political Economy, University of Chicago Press, vol. 91(2), pages 193-227, April. [Downloadable!] (restricted)
  4. Azariadis, Costas, 1981. "Self-fulfilling prophecies," Journal of Economic Theory, Elsevier, vol. 25(3), pages 380-396, December. [Downloadable!] (restricted)
  5. Grandmont, Jean-Michel, 1985. "On Endogenous Competitive Business Cycles," Econometrica, Econometric Society, vol. 53(5), pages 995-1045, September. [Downloadable!] (restricted)
  6. Benhabib, Jess & Day, Richard H., 1982. "A characterization of erratic dynamics in, the overlapping generations model," Journal of Economic Dynamics and Control, Elsevier, vol. 4(1), pages 37-55, November. [Downloadable!] (restricted)
  7. Grandmont, Jean-Michel & Pintus, Patrick & de Vilder, Robin, 1998. "Capital-Labor Substitution and Competitive Nonlinear Endogenous Business Cycles," Journal of Economic Theory, Elsevier, vol. 80(1), pages 14-59, May. [Downloadable!] (restricted)
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  8. Medio, Alfredo & Raines, Brian, 2007. "Backward dynamics in economics. The inverse limit approach," Journal of Economic Dynamics and Control, Elsevier, vol. 31(5), pages 1633-1671, May. [Downloadable!] (restricted)
  9. Grandmont, Jean-Michele & Kirman, Alan P & Neuefeind, W, 1974. "A New Approach to the Uniqueness of Equilibrium," Review of Economic Studies, Blackwell Publishing, vol. 41(2), pages 289-91, April. [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.)

  1. Theodore Palivos & Dimitrios Varvarigos, 2009. "Education and Growth: A Simple Model with Complicated Dynamics," Discussion Paper Series 2009_08, Department of Economics, University of Macedonia, revised Apr 2009. [Downloadable!]
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This page was last updated on 2009-11-25.

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