Nonlinear difference equations bifurcations and chaos : an introduction
The aim of these lecture notes is to present a few mathematical factsabout the bifurcations of nonlinear difference equations, in a concise andsimple form that might be useable by economic theorists.
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| Length: | 119 pages |
| Date of creation: | 1988 |
| Date of revision: | |
| Handle: | RePEc:cpm:cepmap:8811 |
| Contact details of provider: | Postal: Phone: +33(0) 1 43 13 62 30 Fax: +33(0) 1 43 13 62 32 Web page: http://www.cepremap.fr/ More information through EDIRC
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References listed on IDEAS
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- Grandmont, Jean-Michel, 1985.
"On Endogenous Competitive Business Cycles,"
Econometrica,
Econometric Society, vol. 53(5), pages 995-1045, September.
- Grandmont Jean-michel, 1983. "On endogenous competitive business cycles," CEPREMAP Working Papers (Couverture Orange) 8316, CEPREMAP.
- Azariadis, Costas, 1981. "Self-fulfilling prophecies," Journal of Economic Theory, Elsevier, vol. 25(3), pages 380-396, December.
- GRANDMONT, Jean-Michel & PINTUS, Patrick & de VILDER, Robin, 1997.
"Capital-labor substitution and competitive nonlinear endogenous business cycles,"
CORE Discussion Papers
1997087, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- 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.
- Jean-Michel Grandmont & P, A, Pintus & R, De Vilder, 1997. "Capital-Labor Substitution and Competitive Nonlinear Endogenous Business Cycles," Working Papers 97-28, Centre de Recherche en Economie et Statistique.
- 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.
- 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.
- Cass, David & Shell, Karl, 1983. "Do Sunspots Matter?," Journal of Political Economy, University of Chicago Press, vol. 91(2), pages 193-227, April.
- 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.
- Woodford, Michael, 1986. "Stationary sunspot equilibria in a finance constrained economy," Journal of Economic Theory, Elsevier, vol. 40(1), pages 128-137, October.
- Gaunersdorfer, Andrea & Hommes, Cars H. & Wagener, Florian O.O., 2008.
"Bifurcation routes to volatility clustering under evolutionary learning,"
Journal of Economic Behavior & Organization,
Elsevier, vol. 67(1), pages 27-47, July.
- Gaunersdorfer, A. & Hommes, C.H. & Wagener, F.O.O., 2003. "Bifurcation Routes to Volatility Clustering under Evolutionary Learning," CeNDEF Working Papers 03-03, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
- Grandmont, Jean-Michele & Kirman, Alan P & Neuefeind, W, 1974. "A New Approach to the Uniqueness of Equilibrium," Review of Economic Studies, Wiley Blackwell, vol. 41(2), pages 289-91, April.
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