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References
B. Amable et al. Strong hysteresis: An application to foreign trade. OFCE Working Paper 9103, 1991.
R. Axtell. Zipf distribution of U.S. firm size. Science, 293:1818-1820, 2001.
P. Bak, C. Tang, and K. Wiesenfeld. Self-organized critically—An explanation of 1/f noise. Phys. Rev. Lett., 59(4):381-384, 1987.
R.E. Baldwin. Sunk-cost hysteresis. NBER Working Paper, 2911, 1989.
R.E. Baldwin and P. Krugman. Persistent trade effect of large exchange rate shocks. Quart. J. Econ., 104, 635-654, 1989.
A.L. Barabasi, R. Albert, and H. Jeong. Mean-field theory for scale random networks. Physica A, 272:173-189,1999.
J. Benhabib, editor, Cycles and Chaos in Economic Equilibrium, Princeton University Press, Princeton, NJ, 1992.
C. Chiarella. The Elements of a Nonlinear Theory of Economic Dynamics, Springer-Verlag, Berlin-Heidelberg-New York, 1990.
S.E. Cristophe. Hysteresis and the value of the U.S. multinational corporation. J. Business 70, 3:435-462, 1997.
D.M. Cutler, I.M. Poterba, and L.H. Summers. What moves stock prices?. J. Portfolio Manag. 15:4-12, 1989.
R.H. Day. Irregular growth cycles. Amer. Econ. Rev. 72:406-414, 1982.
R.H. Day and W. Shafer. Keynsian chaos. J. Macroecon. Behav. Organization, 16:37-83, 1991.
Z. Ding, C.W.J. Granger, and R.F. Engle. A long memory property of stock returns and a new model. J. Empirical Finance, 1:83, 1993.
E.F. Fama. The behavior of stock-market prices. J. Business, 38(1):34-105, 1965.
S. Focardi, S. Cincotti, and M. Marchesi. Self-organization and market crashes. J. Econ. Behav. Organization, 49(2):241-267, 2002.
X. Gabaix. Zipf 's law for cities: An explanation. Quart. J. Econ., 114(3):739-768, 1999.
S. Ghashghaie, W. Breymann, J. Peinke, P. Talkner, and Y. Dodge. Turbulent cascades in foreign exchange markets. Nature, 381(6585):767-770, 1996.
R.M. Goodwin, A growth cycle. In Feinstein, C.H. editor: Socialism, Capitalism and Economic Growth. Cambridge University Press, Cambridge, UK, 1967.
Y. Ijiri and H.A. Simon. Skew Distributions and the Sizes of Business Firms.
L. Ljungqvist. Hysteresis in international trade: A general equilibrium analysis. J. Intl. Money Finance, 13, 387-99, 1994.
H.W. Lorenz, Nonlinear Dynamical Economics and Chaotic Motion. Springer-Verlag, New York, 1997.
T. Lux. The stable Paretian hypothesis and the frequency of large returns: An examination of major German stocks. Appl. Financial Econ., 6(6):463-475, 1996.
B. Mandelbrot. The variation of certain speculative prices. J. Business, 36(4):394-419, 1963.
R.N. Mantegna and H.E. Stanley. Scaling behavior in the dynamics of an economic index. Nature, 376 (6535):46-49, 1995.
R.N. Mantegna and H.E. Stanley. Introduction to Econophysics: Correlations and Complexity in Finance. Cambridge University Press, Cambridge, UK, 1999.
I.D. Mayergoyz. Mathematical models in hysteresis. IEEE Trans. Magnetics, 22:603-8, 1986.
M. Nirei. Inventory Dynamics and Self-Organized Criticality. Research in Economics, 54: 375-383, 2000.
V. Pareto. Cours d'Economie Politique. Droz, Geneva, 1896.
L. Piscitelli et al. A test for strong hysteresis. Comput. Econ., 15:59-78, 2000.
V. Plerou, P. Gopikrishnan, L.A.N. Amaral, M. Meyer, and H.E. Stanley. Scaling of the distribution of price fluctuations of individual companies. Phys. Rev. E, 60(6):6519-6529, 1999. Part A.
M.J. Pohjola. Stable and chaotic growth: The dynamics of a discrete version of Goodwin's growth cycle model. Zeitshrift fur Nationalokonomie 41:27-38, 1981.
S.H. Poon and C.W.J. Granger. Forecasting volatility in financial markets: A review. J. Econ. Lit., 41(2):478-539, 2003.
J. Scheinkman and M. Woodford. Self-organized criticality and economic fluctuations. Amer. Econ. Rev., 84(5): 417-421, 1994.
G. Yule. A mathematical theory of evolution based on the conclusions of Dr. J.C. Willis FRS. Philosophical Transactions of the Royal Society of London Series B-Biological Sciences 213: 21, 1924.
G. Zipf. Selective Studies and the Principle of Relative Frequency in Language. Harvard University Press, Cambridge, 1932.
G. Zipf. Human Behavior and the Principle of Least Effort. Addison-Wesley, Cambridge, 1949.
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Patelli, P. (2006). Nonlinear Dynamical Systems in Economics. In: Delsanto, P.P. (eds) Universality of Nonclassical Nonlinearity. Springer, New York, NY. https://doi.org/10.1007/978-0-387-35851-2_10
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