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A tutorial introduction to nonlinear dynamics in economics

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  • Luis A. Aguirre

    (Universidade Federal de Minas Gerais - UFMG)

  • Antonio Aguirre

    (Universidade Federal de Minas Gerais - UFMG)

Abstract

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File URL: http://www.face.ufmg.br/novaeconomia/sumarios/v7n2/070201.pdf
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Bibliographic 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

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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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Related research

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

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References

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  1. 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.
  2. 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.
  3. Benhabib, Jess & Day, Richard H., 1980. "Erratic accumulation," Economics Letters, Elsevier, vol. 6(2), pages 113-117.
  4. 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.
  5. Michael J. Stutzer, 1980. "Chaotic dynamics and bifurcation in a macro model," Staff Report 55, Federal Reserve Bank of Minneapolis.
  6. Grandmont Jean-michel, 1983. "On endogenous competitive business cycles," CEPREMAP Working Papers (Couverture Orange) 8316, CEPREMAP.
  7. Albin, Peter S., 1987. "Microeconomic foundations of cyclical irregularities or `chaos'," Mathematical Social Sciences, Elsevier, vol. 13(3), pages 185-214, June.
  8. Nijkamp, Peter, 1987. "Long-term economic fluctuations: a spatial view," Socio-Economic Planning Sciences, Elsevier, vol. 21(3), pages 189-197.
  9. 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.
  10. 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, Wiley Blackwell, vol. 91(1), pages 161-67.
  11. Lorenz, Hans-Walter, 1987. "International trade and the possible occurrence of chaos," Economics Letters, Elsevier, vol. 23(2), pages 135-138.
  12. Boldrin, Michele & Montrucchio, Luigi, 1986. "On the indeterminacy of capital accumulation paths," Journal of Economic Theory, Elsevier, vol. 40(1), pages 26-39, October.
  13. Deneckere, Raymond & Pelikan, Steve, 1986. "Competitive chaos," Journal of Economic Theory, Elsevier, vol. 40(1), pages 13-25, October.
  14. Scheinkman, Jose A & LeBaron, Blake, 1989. "Nonlinear Dynamics and Stock Returns," The Journal of Business, University of Chicago Press, vol. 62(3), pages 311-37, July.
  15. 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.
  16. Dana, Rose-Anne & Montrucchio, Luigi, 1986. "Dynamic complexity in duopoly games," Journal of Economic Theory, Elsevier, vol. 40(1), pages 40-56, October.
  17. Day, Richard H, 1982. "Irregular Growth Cycles," American Economic Review, American Economic Association, vol. 72(3), pages 406-14, June.
  18. 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.
  19. 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.
  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.
  21. Baumol, William J & Wolff, Edward N, 1983. " Feedback from Productivity Growth to R & D," Scandinavian Journal of Economics, Wiley Blackwell, vol. 85(2), pages 147-57.
  22. George W. Evans & L Reichlin, 1992. "Information," CEP Discussion Papers dp0111, Centre for Economic Performance, LSE.
  23. 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.
  24. 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.
  25. Scheinkman, Jose A, 1990. "Nonlinearities in Economic Dynamics," Economic Journal, Royal Economic Society, vol. 100(400), pages 33-48, Supplemen.
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