Modeling Saturation in Industrial Growth

  • Arnab K. Ray
Conference paper
Part of the New Economic Windows book series (NEW)


Long-time saturation in industrial growth has been modeled by a logistic equation of arbitrary degree of nonlinearity. Equipartition between nonlinearity and exponential growth in the integral solution of this logistic equation gives a nonlinear time scale for the onset of saturation. Predictions can be made about the limiting values of the annual revenue and the human resource content that an industrial organization may attain. These variables have also been modeled to set up an autonomous first-order dynamical system, whose equilibrium condition forms a stable node (an attractor state) in a related phase portrait. The theoretical model has received strong support from all relevant data pertaining to the well-known global company, IBM


Logistic Equation Integral Solution Stable Node Industrial Growth Balance Scorecard 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Bouchaud J-P (2008) Economics needs a scientific revolution, Nature 455:1181CrossRefGoogle Scholar
  2. 2.
    Aghion P, Howitt P (1998) Endogenous Growth Theory, The MIT Press, Cambridge, MassachusettsGoogle Scholar
  3. 3.
    Kim WC, Mauborgne R (2005) Blue Ocean Strategy, Harvard Business School Press, BostonGoogle Scholar
  4. 4.
    Marjit A, Marjit S, Ray AK (2007) Analytical modelling of terminal properties in industrial growth, arXiv:0708.3467Google Scholar
  5. 5.
    Strogatz SH (1994) Nonlinear Dynamics and Chaos, Addison—Wesley Publishing Company, Reading, MAGoogle Scholar
  6. 6.
    Montroll EW (1978) Social dynamics and the quantifying of social forces, Proceedings of the National Academy of Science of the USA 75:4633CrossRefGoogle Scholar
  7. 7.
    Modis T (2002) Predictions 10 Years Later, Growth Dynamics, GenevaGoogle Scholar
  8. 8.
    Mantegna RN, Stanley HE (2000) An Introduction to Econophysics, Cambridge University Press, CambridgeGoogle Scholar
  9. 9.
    Kaplan RS, Norton DP (1996) The Balanced Scorecard, Harvard Business School Press, BostonGoogle Scholar

Copyright information

© Springer-Verlag Italia 2010

Authors and Affiliations

  • Arnab K. Ray
    • 1
  1. 1.Homi Bhabha Centre for Science EducationTIFRMumbaiIndia

Personalised recommendations