Una possibile generalizzazione dei modelli economici dinamici

  • Eliano Pessa
  • Bruno Rizzi


The aim of this paper is that of introducing a new class of economic dynamical models, wich we have called «morphogenetic systems»; these latters are been constructed in order to generalize classical Goodwin's model of business cycle. Morphogenetic systems account for the spatial features, besides the temporal ones, of economic dynamics; for this reason they are based on reaction-diffusion partial differential equations. This work results in a formalized definition of these systems; one, thus, can mathematically characterize them in a univocal way.


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  1. [1]
    B. N. Belintsev,Dissipative Structures and the Problems of Biological Pattern Formation, Soviet Physics Uspekhi,26 (1983), pagine 775–800.Google Scholar
  2. [2]
    R. M. Goodwin,A Growth Cycle, in C. H. Feinstein (Ed.),Socialism, Capitalism and Economic Growth, Cambridge University Press, London 1967, pagine 54–58.Google Scholar
  3. [3]
    R. M. Goodwin, M. Krüger, A. Vercelli (Eds.),Nonlinear Models of Fluctuating Growth, Springer, Berlin-Heidelberg-New York 1984.Google Scholar
  4. [4]
    H. Haken,Advanced Synergetics, Springer, Berlin-Heidelberg-New York 1983.Google Scholar
  5. [5]
    A. Medio,Teoria Nonlineare del Ciclo Economico, Il Mulino, Bologna 1979.Google Scholar
  6. [6]
    I. Prigogine, G. Nicolis,Le Structure Dissipative, tr. it. Sansoni Firenze 1982.Google Scholar
  7. [7]
    B. Rizzi,Aspetti dei concetti di Entropia e d'Informazione, Giornale dell'Istituto Italiano degli Attuari, XXXIII, n. 1–2 (1970), pagine 71–116.Google Scholar
  8. [8]
    D. G. Saari,Dynamical Systems and Mathematical Economics, inH.F. Sonnenschein (Ed.),Models of Economic Dynamics, Springer, Berlin-Heidelberg-New York 1986, pagine 1–24.Google Scholar
  9. [9]
    G. Silverberg,Embodied Technical Progress in a Dynamic Economic Model: The Self-Organization Paradigm, inR. M. Goodwin,M. Krüger,A. Vercelli (Eds.),Nonlinear Models of Fluctuating Growth, Springer, Berlin-Heidelberg-New York 1984, pagine 192–208.Google Scholar
  10. [10]
    Yu. V. Svirezhev, D. O. Logofet,Stability of Biological Communities, Mir, Moscow 1983.Google Scholar

Copyright information

© Springer-Verlag 1897

Authors and Affiliations

  • Eliano Pessa
    • 1
  • Bruno Rizzi
    • 2
  1. 1.Dipartimento di MatematicaUniversità degli Studi di Roma “La Sapienza”RomaItalia
  2. 2.Dipartimento di Matematica e Statistica Facoltà di Economia e CommercioUniversità degli Studi di NapoliNapoliItalia

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