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A tutorial introduction to nonlinear dynamics in economics

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Author Info
Luis A. Aguirre (Universidade Federal de Minas Gerais - UFMG)
Antonio Aguirre (Universidade Federal de Minas Gerais - UFMG)

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Abstract

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File URL: http://www.face.ufmg.br/novaeconomia/sumarios/v7n2/070201.pdf
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Publisher Info
Article provided by Economics Department, Universidade Federal de Minas Gerais (Brazil) in its journal Nova Economia.

Volume (Year): 7 (1997)
Issue (Month): 2 ()
Pages: 9-47
Download reference. The following formats are available: HTML (with abstract), plain text (with abstract), BibTeX, RIS (EndNote, RefMan, ProCite), ReDIF
Handle: RePEc:nov:artigo:v:7:y:1997:i:2:p:9-47

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Postal: Av. Antonio Carlos, 6627 - Predio da FACE Belo Horizonte, 31270-901 Brazil
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Web: http://www.face.ufmg.br/novaeconomia/

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Related research
Keywords: nonlinear dynamics; phase space reconstruction; attractors; dynamical invariants; chaotic dynamics;

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Find related papers by JEL classification:
C00 - Mathematical and Quantitative Methods - - General - - - General

References listed on IDEAS
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  1. Michael J. Stutzer, 1980. "Chaotic dynamics and bifurcation in a macro model," Staff Report 55, Federal Reserve Bank of Minneapolis. [Downloadable!]
  2. Lorenz, Hans-Walter, 1987. "International trade and the possible occurrence of chaos," Economics Letters, Elsevier, vol. 23(2), pages 135-138. [Downloadable!] (restricted)
  3. Albin, Peter S., 1987. "Microeconomic foundations of cyclical irregularities or `chaos'," Mathematical Social Sciences, Elsevier, vol. 13(3), pages 185-214, June. [Downloadable!] (restricted)
  4. George W. Evans & L Reichlin, 1992. "Information," CEP Discussion Papers dp0111, Centre for Economic Performance, LSE.
  5. Nijkamp, Peter & Reggiani, Aura, 1995. "Non-linear evolution of dynamic spatial systems. The relevance of chaos and ecologically-based models," Regional Science and Urban Economics, Elsevier, vol. 25(2), pages 183-210, April. [Downloadable!] (restricted)
  6. Baumol, William J & Wolff, Edward N, 1983. " Feedback from Productivity Growth to R & D," Scandinavian Journal of Economics, Blackwell Publishing, vol. 85(2), pages 147-57.
  7. Deneckere, Raymond & Pelikan, Steve, 1986. "Competitive chaos," Journal of Economic Theory, Elsevier, vol. 40(1), pages 13-25, October. [Downloadable!] (restricted)
  8. Nijkamp, Peter, 1987. "Long-term economic fluctuations: a spatial view," Socio-Economic Planning Sciences, Elsevier, vol. 21(3), pages 189-197. [Downloadable!] (restricted)
    Other versions:
  9. Torre, V, 1977. "Existence of Limit Cycles and Control in Complete Keynesian System by Theory of Bifurcations," Econometrica, Econometric Society, vol. 45(6), pages 1457-66, September. [Downloadable!] (restricted)
  10. Boldrin, Michele & Woodford, Michael, 1990. "Equilibrium models displaying endogenous fluctuations and chaos : A survey," Journal of Monetary Economics, Elsevier, vol. 25(2), pages 189-222, March. [Downloadable!] (restricted)
    Other versions:
  11. Grandmont, Jean-Michel, 1985. "On Endogenous Competitive Business Cycles," Econometrica, Econometric Society, vol. 53(5), pages 995-1045, September. [Downloadable!] (restricted)
  12. Baumol, William J & Benhabib, Jess, 1989. "Chaos: Significance, Mechanism, and Economic Applications," Journal of Economic Perspectives, American Economic Association, vol. 3(1), pages 77-105, Winter. [Downloadable!] (restricted)
    Other versions:
  13. Nijkamp, P & Poot, H J & Rouwendal, J, 1991. "A Non-linear Dynamic Model of Spatial Economic Development and R&D Policy," The Annals of Regional Science, Springer, vol. 25(4), pages 287-302.
  14. Scheinkman, Jose A & LeBaron, Blake, 1989. "Nonlinear Dynamics and Stock Returns," Journal of Business, University of Chicago Press, vol. 62(3), pages 311-37, July. [Downloadable!] (restricted)
  15. Scheinkman, Jose A, 1990. "Nonlinearities in Economic Dynamics," Economic Journal, Royal Economic Society, vol. 100(400), pages 33-48, Supplemen. [Downloadable!] (restricted)
  16. Granger, Clive W J & Hallman, Jeffrey J, 1991. "Long Memory Series with Attractors," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 53(1), pages 11-26, February.
    Other versions:
  17. 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)
  18. Dana, Rose-Anne & Montrucchio, Luigi, 1986. "Dynamic complexity in duopoly games," Journal of Economic Theory, Elsevier, vol. 40(1), pages 40-56, October. [Downloadable!] (restricted)
  19. Boldrin, Michele & Montrucchio, Luigi, 1986. "On the indeterminacy of capital accumulation paths," Journal of Economic Theory, Elsevier, vol. 40(1), pages 26-39, October. [Downloadable!] (restricted)
  20. Bhaduri, Amit & Harris, Donald J, 1987. "The Complex Dynamics of the Simple Ricardian System," The Quarterly Journal of Economics, MIT Press, vol. 102(4), pages 893-901, November. [Downloadable!] (restricted)
  21. Hommes, Cars H & Nusse, Helena E, 1989. " Does an Unstable Keynesian Unemployment Equilibrium in a Non-Walrasian Dynamic Macroeconomic Model Imply Chaos?," Scandinavian Journal of Economics, Blackwell Publishing, vol. 91(1), pages 161-67.
  22. Stutzer, Michael J., 1980. "Chaotic dynamics and bifurcation in a macro model," Journal of Economic Dynamics and Control, Elsevier, vol. 2(1), pages 353-376, May. [Downloadable!] (restricted)
  23. Day, Richard H, 1982. "Irregular Growth Cycles," American Economic Review, American Economic Association, vol. 72(3), pages 406-14, June. [Downloadable!] (restricted)
  24. Benhabib, Jess & Day, Richard H., 1980. "Erratic accumulation," Economics Letters, Elsevier, vol. 6(2), pages 113-117. [Downloadable!] (restricted)
  25. R H Day, 1985. "Dynamical systems theory and complicated economic behavior," Environment and Planning B: Planning and Design, Pion Ltd, London, vol. 12(1), pages 55-64, January. [Downloadable!] (restricted)
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