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A Short Discussion of Alternative Approaches to Modelling Complex Self-Organising Systems

  • Agostino La Bella
Conference paper

Abstract

The search for new theories able to explain and predict irregular phenomena in physical, social and biological systems has been stimulated by the recognition that traditional models, while able to replicate quite well the current behaviour of a system, cannot be reliably used for long-run forecasting because of their inability to take into account sudden structural modifications and their impact on the system. Such modifications are seen to occur frequently in social systems, seriously challenging our ability not only to make predictions, but also to reach a clear understanding of the underlying adjustment processes.

Keywords

Hausdorff Dimension Strange Attractor Catastrophe Theory Sudden Discontinuity Stable Growth Rate 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. Andersen E.S. (1994) Evolutionary Economics - Post Schumpeterian Contributions, Pinter, London.Google Scholar
  2. Arnold V.I. (1986) Catastrophe Theory, Springer-Verlag, Berlin.CrossRefGoogle Scholar
  3. Blumenfeld H. (1979) Metropolis and Beyond: Selected Essays, John Wiley and Sons, New York.Google Scholar
  4. Campisi D., La Bella A. (1985) The Dynamics of Urban Population, Sistemi urbani, 7, 221–235.Google Scholar
  5. Castelnuovo D.P.L., Hayes S.A. (1993) Catastrophe Theory, Addison-Wesley, Cambridge, Massachusetts.Google Scholar
  6. Chatelin F. (1983) Spectral Approximation of Linear Operators, Academic Press, New York.Google Scholar
  7. Cohen W.M., Levinthal D.A. (1989) Innovation and Learning: The Two Faces of R and D, The Economic Journal, 99, 569–596.CrossRefGoogle Scholar
  8. Cohen W.M., Levinthal D.A. (1994) Fortune Favors the Prepared Firm, Management Science, 40, 227–251.CrossRefGoogle Scholar
  9. Dawkins R. (1982) The Extended Phenotype, Oxford University Press, New York.Google Scholar
  10. Egidi M., Marris R. (eds.) (1992) Economics, Bounded Rationality and the Cognitive Solution, Edward Elgar, Brookfield.Google Scholar
  11. Kato T. (1982) A Short Introduction to Perturbation Theory for Linear Operators, Springer-Verlag, Berlin.CrossRefGoogle Scholar
  12. Keyfitz N. (1980) Do Cities Grow by Natural Increase or Migration?, Geographical Analysis, 12, 142–156.CrossRefGoogle Scholar
  13. Keyfitz N., Philipov D. (1982) Migration and Natural Increase in the Growth of Cities, RR-82-2, IIASA, Laxenburg.Google Scholar
  14. Luenberger D.G. (1979) Introduction to Dynamic Systems, John Wiley and Sons, New York.Google Scholar
  15. Mandelbrot B.B. (1983) The Fractal Geometry of Nature, Freeman, New York.Google Scholar
  16. Marchetti C. (1989) Trasporti e città, IIASA, Laxenburg (mimeo).Google Scholar
  17. Nelson R.R., Winter S.G. (1982) An Evolutionary Theory of Economic Change, The Belknap Press of Harvard University Press, Cambridge, Massachusetts.Google Scholar
  18. Oster G.F., Wilson E.O. (1984) A Critique of Optimization Theory in Evolutionary Biology, in Sober E. (ed.) Conceptual Issues in Evolutionary Biology, MIT Press, Cambridge, Massachusetts.Google Scholar
  19. Rogers A. (1975) Introduction to Multiregional Mathematical Demography, John Wiley and Sons, New York.Google Scholar
  20. Weidlich W., Haag G. (eds.) (1987) Interregional Migrating - Dynamic Theory and Comparative Evaluation, Springer Series in Synergetics, Springer-Verlag, Berlin.Google Scholar
  21. Willekens F., Rogers A. (1978) Spatial Population Analysis: Methods and Computer Programs, RR-78-18, IIASA, Laxenburg.Google Scholar
  22. Williamson O.E., Winter S.G. (1991) The Nature of the Firm: Origin, Evolution and Development, Oxford University Press, Oxford, New York.Google Scholar
  23. Wolfe M.A. (1978) Numerical Method for Unconstrained Optimization: An Introduction, Van Nostrand Reinhold Co., New York.Google Scholar
  24. Zipf G.K. (1949) Human Behavior and the Principle of Least Effort, Addison-Wesley, Cambridge, Massachusetts.Google Scholar

Copyright information

© Physica-Verlag Heidelberg 1998

Authors and Affiliations

  • Agostino La Bella

There are no affiliations available

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