Abstract
Dealing with complex dynamic systems, economists must face two difficult problems simultaneously. On the one hand, they have to study the interrelations among the elements of the system at a given moment of time, on the other hand they have to describe their evolution in time, as determined by external forces and internal reaction-mechanisms. Whereas the former area of investigation is well developed and is dealt with by general equilibrium theories of one type or another, the study of the latter problem is still in its infancy, partly owing to formidable mathematical difficulties.
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Bibliography
ANDRONOV, A.A.; VITT, A.A.; KHAIKIN, S.E., (AVK), Theory of Oscillators, Pergamon, 1966.
GANTMACHER, F.R., Théorie des matrices, Gunod, Paris, 1966.
GOODWIN, R., “The Use of Normalized General Coordinates in Linear Value and Distribution Theory”, in POLENSKE, K.R.; SKOLKA, J.V. (eds), Advances in Input-Output Analysis, Cambridge, Mass., 1976
HAKEN, H., Synergetics, Springer Verlag, 1978.
HIRSCH, M.W.; SMALE, S., Differential Equations, Dynamical Systems and Linear Algebra, Academic Press, 1974.
MAGNANI, U.; MERIGGI, M.R., “Characterization of K-matrices”, in Mathematical Programming and its Economic Applications, Castellani G. and Mazzoleni P. (eds), Franco Angeli, Milano, 1981.
MEDIO, A., Teoria nonlineare del ciclo economico, Bologna, 1979. ( This is an Italian version of the author’s Ph.D. dissertation, submitted to Cambridge University).
SILJAK, D.D., Nonlinear Systems, John Wiley and Sons, Inc., New York, 1969.
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© 1984 Springer-Verlag Berlin Heidelberg
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Medio, A. (1984). Synergetics and Dynamic Economic Models. In: Goodwin, R.M., Krüger, M., Vercelli, A. (eds) Nonlinear Models of Fluctuating Growth. Lecture Notes in Economics and Mathematical Systems, vol 228. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-45572-8_11
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DOI: https://doi.org/10.1007/978-3-642-45572-8_11
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