Economic Evolution and Structural Adjustment pp 349-367 | Cite as
The Onset of Turbulence in Discrete Relative Multiple Spatial Dynamics
Conference paper
Abstract
The iterative algorithm (mapping) of relative discrete dynamics to be discussed here was first presented in a paper by Sonis and Dendrinos (1984), where the two- location, one-stock problem was addressed. Its connections with fundamental socio-spatial dynamics are expanded in Dendrinos and Sonis (1987), where the full gamut of I-location, J-stock models are presented together with some empirical evidence.
Keywords
Strange Attractor Competitive Exclusion Unstable Equilibrium Stable Limit Cycle Continuous Dynamic
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.
Preview
Unable to display preview. Download preview PDF.
References
- Dendrinos, D.S. and Sonis, M., Turbulence and Socio-Spatial Dynamics: Toward a Structural Theory of Social Systems Evolution, 1987.Google Scholar
- Feigenbaum, M.J., “Quantitative Universality for a Class of Nonlinear Transformations”, Journal of Statistical Physics, Vol. 19, 1978, pp. 25–52.CrossRefGoogle Scholar
- Haken, H., Synergetics, 3rd ed., Springer-Verlag, New York-Heidelberg, 1983.CrossRefGoogle Scholar
- Lorenz, E.N., “Deterministic Nonperiodic Flow”, Journal of the Atmospheric Sciences, Vol. 20, 1963, pp. 130–141.CrossRefGoogle Scholar
- May, R.M., “Simple Mathematical Models with very Complicated Dynamics”, Nature, Vol. 261, 1976, pp. 259–467.CrossRefGoogle Scholar
- Saaty, T.L., Modern Nonlinear Equations, McGraw Hill, New York, 1967.Google Scholar
- Sonis, M. and Dendrinos, D.S., 1984, “A Discrete Relative Growth Model: Switching, Role Reversal and Turbulence”, Paper presented at the Sixth Advanced Summer Institute in Regional Science, University of Bamberg, FRG, August, 1984. Forthcoming in Conference Proceedings.Google Scholar
- Ulam, S.M., “Experimental Mathematics: the Role of Computation in Nonlinear Science”, Communications of the ACM, Special Section on Computing in Theoretical Physics, Vol. 28, No. 4, 1985, pp. 374–384.CrossRefGoogle Scholar
Copyright information
© Springer-Verlag Berlin Heidelberg 1987