Advertisement

Whole Evolutions, Where Systemic Yoyos Come from

  • Jeffrey Yi-Lin ForrestEmail author
Chapter
Part of the IFSR International Series in Systems Science and Systems Engineering book series (IFSR, volume 32)

Abstract

After introducing the brief history of the concept of systems and the systemic yoyo model in the previous chapter, this chapter looks at the theoretical foundation on why such an intuitive model of general systems holds for each and every system that is either tangible or imaginable.

References

  1. English, J., Feng, G.F.: Tao De Ching. Vintage Books, New York (1972)Google Scholar
  2. Glassey, R.T.: On the blowing up of solution to Cauchy problems for nonlinear Schrodinger equation. J. Math. Phy. 18, 1794–1797 (1977)MathSciNetCrossRefGoogle Scholar
  3. Guo, B.L.: Nonlinear Evolution Equations. Shanghai Press of Scientific and Technological Education, Shanghai (1995)Google Scholar
  4. Hess, S.L.: Introduction to Theoretical Meteorology. Holt, Rinehart and Winston, New York (1959)zbMATHGoogle Scholar
  5. Holton, J.R.: An Introduction to Dynamic Meteorology, 2nd edn. Academic Press, New York (1979)Google Scholar
  6. Kline, M.: Mathematical Thought from Ancient to Modern Times. Oxford University Press, Oxford (1972)zbMATHGoogle Scholar
  7. Klir, G.: Facets of Systems Science. Springer, New York (2001)CrossRefGoogle Scholar
  8. Kuchemann, D.F.: Report on the I.U.T.A.M. symposium on concentrated vortex motions in fluids. J. Fluid Mech. 21, 1–20 (1965)CrossRefGoogle Scholar
  9. Lin, Y.: Some impacts of the second dimension. In: Proceedings of the 15th European Meeting in Cybernetics and Systems Research, pp. 3–8, Vienna, Austria, 25–28 April 2000Google Scholar
  10. Lin, Y. (guest editor): Systematic studies: the infinity problem in modern mathematics. Kybern. Int. J. Cybern. Syst. Manage. Sci. 37(3–4), 385–542 (2008)Google Scholar
  11. Lin, Y.: Systemic Yoyos: Some Impacts of the Second Dimension. Auerbach Publications, an imprint of Taylor and Francis, New York (2009)zbMATHGoogle Scholar
  12. Lin, Y., Fan, T.H.: The fundamental structure of general systems and its relation to knowability of the physical world. Kybern. Int. J. Syst. Cybern. 26, 275–85 (1997)MathSciNetCrossRefGoogle Scholar
  13. Lin, Y., OuYang, S.C.: Invisible Tao and realistic nonlinearity propositions. Kybern. Int. J. Syst. Cybern. 27, 809–822 (1998)Google Scholar
  14. Lin, Y., Wu, Y.: Blown-ups and the concept of whole evolutions in systems science. Probl. Nonlinear Anal. Eng. Syst. 4, 16–31 (1998)Google Scholar
  15. Liu, S.F., Lin, Y.: Grey Information: Theory and Practical Applications. Springer, London (2006)Google Scholar
  16. Lorenz, E.N.: The Essence of Chaos. Washington University Press, Seattle (1993)CrossRefGoogle Scholar
  17. OuYang, S.C.: Break-Offs of Moving Fluids and Several Problems of Weather Forecasting. Press of Chengdu University of Science and Technology, Chengdu (1994)Google Scholar
  18. OuYang, S.C.: Pansystems point of view of prediction and explosive reverses of fluids. Appl. Math. Mech. 16, 255–262 (1995)Google Scholar
  19. OuYang, S.C.: Weather Evolutions and Structural Forecasting (in Chinese). Meteorological Press, Beijing (1998a)Google Scholar
  20. OuYang, S.C.: Some remarks on “explosive” evolutions of general nonlinear evolution equations and related problems. Appl. Math. Mech. 19, 165–173 (1998b)Google Scholar
  21. OuYang, S.C., Wu, Y., Lin, Y., Li, C.: The discontinuity problem and “chaos” of Lorenz’s model. Kybern. Int. J. Syst. Cybern. 27, 621–635 (1998)Google Scholar
  22. OuYang, S.C., Miao, J.H., Wu, Y., Lin, Y., Peng, T.Y., Xiao, T.G.: Second stir and incompleteness of quantitative analysis. Kybern. Int. J. Cybern., Syst. Manage. Sci. 29, 53–70 (2000)CrossRefGoogle Scholar
  23. OuYang, S.C., Chen, Y.G., Lin, Y.: Digitization of Information and Prediction. China Meteorological Press, Beijing (2009)Google Scholar
  24. Saltzman, B.: Finite amplitude free convection as an initial value problem. I. J. Atmos. Sci. 19, 329–341 (1962)CrossRefGoogle Scholar
  25. Soros, G.: The Alchemy of Finance. Wiley, New York (2003)Google Scholar
  26. Wilhalm, R., Baynes, C.: The I Ching or Book of Changes, 3rd edn. Princeton University Press, Princeton, NJ (1967)Google Scholar
  27. Wu, X.M.: The Pansystems View of the World. People’s University of China Press, Beijing (1990)Google Scholar
  28. Wu, Y.: Blown-ups: a leap from specified local confusions to a general whole evolution. Kybern. Int. J. Cybern. Syst. 27, 647–655 (1998)MathSciNetCrossRefGoogle Scholar
  29. Wu, Y., Lin, Y.: Beyond Nonstructural Quantitative Analysis: Blown-Ups, Spinning Currents and the Modern Science. World Scientific, River Edge, New Jersey (2002)Google Scholar

Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  1. 1.School of BusinessSlippery Rock University School of BusinessSlippery RockUSA

Personalised recommendations