Fractals in Nonlinear Economic Dynamic Systems

Chaos, Solitons and Fractals

Volumn 7, Issue 2, 1996, Pages 247-256

  Soliman, A S ^a  

^a Cairo University   (Egypt)

Author keywords

[No Author keywords available]

Indexed keywords

ECONOMIC FORECASTING; ECONOMIC POLICY; ECONOMIC SYSTEM; FRACTAL BASIN BOUNDARY; METHODOLOGICAL APPROACH; POLICY IMPLICATION;

EID: 0029800064     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/0960-0779(95)00012-7     Document Type: Article

References (18)

1. Lorenz, Nonlinear Dynamical Economics and Chaotic motions. Springer, New York (1989).
2. R. Day, Irregular growth cycles. American Economic Review 72, 406-414 (1982).
3. P. Reichlin, Output-inflation cycles in an economy with staggered wage setting. Journal of Economic Dynamics and Control 14, 597-625 (1990).
4. E. Ott, Chaos in Dynamical Systems. Cambridge University Press, New York (1993).
5. J. B. Rosser Jr., From Catastrophe to Chaos: A General Theory of Economic Discontinuities. Kluwer, London (1991).
6. M. Boldrin and M. Woodford, Equilibrium models displaying endogeneous fluctuations and chaos. Journal of Monetary Economics 25, 189-222 (1990).
7. A. S. Soliman, Chaotic dynamics in a nonlinear inflation-unemployment model. Int. Conference on Predictability and nonlinear modeling in the natural sciences and economics, April 1993. Wageningen, The Netherlands.
8. G. P. DeCoster and D. W. Mitchell, Dynamic implications of chaotic monetary policy. Journal of Macroeconomics 14, 267-287 (1992).
9. G. Dwyer, Stabilization policy can lead to chaos. Economic Inquiry 30, 40-46 (1992).
10. A. W. Phillips, The relation between unemployment and the rate of change of money wage rates in the United Kingdom, 1861-1957. Economica 283-299, (1958).
11. R. G. Lipsey, The relation between unemployment and the rate of change of money wage rates in the United Kingdom, 1862-1957: a further analysis. Economica 1-31 (1960).
12. A Chiang, Fundamental Methods of Mathematical Economics. McGraw Hill, London (1984).
13. R. Devaney, An Introduction to Chaotic Dynamical Systems. Addison-Wesley, Wokingham (1989).
14. J. M. T. Thompson and H. B. Stewart, Non-linear Dynamics and Chaos. John Wiley, Chichester (1986).
15. C. Grebogi, S. McDonald, E. Ott and J. Yorke, Final state sensitivity: an obstruction to predictability. Physics Letters A 99, 415-418 (1983).
16. A. S. Soliman, Transitions from equilibrium points to periodic cycles and chaos in a Phillips Curve Model. Journal of Macroeconomics (in press).
17. S. McDonald, C. Grebogi, E. Ott and J. Yorke, Fractal basin boundaries. Physica D 17, 125-153 (1985).
18. B. Mandelbrot, The Fractal Geometry of Nature. Freeman, New York (1983).