The IMD Essence and Concepts

  • Vladimir S. Lerner
Part of the The Kluwer International Series in Engineering and Computer Science book series (SECS, volume 736)


Let us define an elementary event as a something that may occur or may not occur. Such an elementary event automatically carries a measure of its existence or a certainty.


Variation Principle Entropy Production Chaotic Attractor Discrete Point Discrete Interval 
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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  1. [1]
    Lichtenberg A.J., Lieberman M.A. 1983 Regular and Stochastic Motion, Springer-Verlag, NYMATHGoogle Scholar
  2. [2]
    Dover G. 2000. Dear Mr Darwin, Letters on Evolution of Life and Human Nature, University of California Press, Berkeley-Los Angeles.Google Scholar
  3. [3]
    Lerner V.S. 1999.Information Systems Analysis and Modeling: An Informational Macrodynamics Approach, Kluwer Academic Publishers, Boston/Dordrecht/London.Google Scholar
  4. [4]
    Chaitin G.J. 1970. To Mathematical Definition of “Life”, ACM SICACT, NEWS 4, January: 12–18.Google Scholar
  5. [5]
    Chaitin G.J. 1979. Toward A Mathematical Definition of “Life”. In The maximum entropy formalism, RD. Levine and M Tribus (eds.), MIT Press: 477–498Google Scholar
  6. [6]
    Prigogine I. 1997. The End of Certainty. Time, Chaos, and New Laws of Nature, The Free Press, NY.Google Scholar
  7. [7]
    Schrodinger E. 1955. What is Life? The Physical Aspect of the Living Cell, Dublin Institute.Google Scholar
  8. [8]
    Blumenfield L.A. 1974. The problem of Biology Physics, Science, Moscow.Google Scholar
  9. [9]
    Kastler G.1967. Origin of Biology Evolution, Mir, Moscow.Google Scholar
  10. [10]
    Volkenstein M.V.1978. General Biophysics, Nauka, Moscow.Google Scholar
  11. [11]
    Levy P.P. 1965. Processus Stochastiques et Mouvement Brownien, Deuxieme Edition Revue et Augmentee, Paris.MATHGoogle Scholar
  12. [12]
    De Groot S.R. and Mazur R. 1962. Nonequilibrium Thermodynamics, Amsterdam, North-Holland Publishing Co.Google Scholar
  13. [13]
    Zubarev D.N. 1971.Irreversible Statistical Thermodynamics, Physmathgiz, Moscow.Google Scholar
  14. [14]
    Dinkin E.B.1963. Marcovian Processes, Physmathgiz, Moscow.Google Scholar
  15. [15]
    Michlin S.G. Course of Mathematical Physics, Science, Moscow.Google Scholar
  16. [16]
    Stratonovich R.L. 1966. The conditional Marcovian processes and their applications in Optimal control theory, Moscow University Press, Moscow.Google Scholar
  17. [17]
    Feynman, R.P. and Hibbs, A.R. 1965. Path integrals and quantum mechanics, McGraw Hill, New York.MATHGoogle Scholar
  18. [18]
    Kolmogorov, A. N. 1987.Information Theory and Theory of Algorithms, Nauka, Moscow.MATHGoogle Scholar
  19. [19]
    Lerner V.S. 1977. Special chapters of the optimal and self-controled systems, KPI, Moldova.Google Scholar
  20. [20]
    Lerner V.S.2002.The Transformation of Imaginary into Real information and Connection to Quantum Mechanics, General Systems Bulletin, Vol. XXXI: 23–26Google Scholar
  21. [21]
    Kittel Ch. 1975. Thermal Physics, Willey, NY.Google Scholar
  22. [22]
    Dukke, R.1972. Gravitation and Universe, World, Moscow.Google Scholar
  23. [24]
    Prigogine I. 1980. From Being to Becoming, Freeman and Co, San FranciscoGoogle Scholar
  24. [25]
    Careri G.1982. Order and Disorder in the structure of Matter, Roma, Laterza.Google Scholar
  25. [26]
    Neimark Y.I.,Landa P.S. 1987 Stochastic and Chaotic Fluctuations, Science, Moscow.Google Scholar
  26. [27]
    Lerner 2001. Information functional mechanisms of cyclic functioning, Journal of Biology Systems, Vol.9, No.2: 1–24.Google Scholar
  27. [28]
    Lerner V.S.2001. Informational Macrodynamics for Cognitive Information Modeling and Computation, Journal of Intelligent Systems, Vol.11, No.6:409–470CrossRefGoogle Scholar
  28. [29]
    Lerner V.S. 2003. Information Modeling of Neuronal Dynamics, Journal of Biology Systems, Vol.11, No. 1:1–27.CrossRefGoogle Scholar
  29. [30]
    Ashby W.R.1963. An Introduction to Cybernetics, Science Edition, Wiley, NY.Google Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2003

Authors and Affiliations

  • Vladimir S. Lerner
    • 1
    • 2
    • 3
  1. 1.California University at Los AngelesUSA
  2. 2.West Coast UniversityUSA
  3. 3.National UniversityUSA

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