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Intensity approximation of random fluctuation in complex systems

Author

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  • Yulmetyev, R.M
  • Gafarov, F.M
  • Yulmetyeva, D.G
  • Emeljanova, N.A

Abstract

The Markov and non-Markov processes in complex systems are examined with the help of dynamical information Shannon entropy method. Here we consider the essential role of two mutually independent channels of entropy involving creation of correlation and annihilation of correlation. The developed method has been used to analyze the intensity fluctuation of the complex systems of various nature: in psychology (to analyze numerical and pattern short-time human memory, to study the effect of stress on the parameters of the dynamical taping-test) and in cardiology (to analyze the random dynamics of RR-intervals in human ECG's and to diagnose various diseases of human cardiovascular systems). The received results show that the application of intensity approximation allows to improve essentially the diagnostics of parameters in the evolution of human dynamic states.

Suggested Citation

  • Yulmetyev, R.M & Gafarov, F.M & Yulmetyeva, D.G & Emeljanova, N.A, 2002. "Intensity approximation of random fluctuation in complex systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 303(3), pages 427-438.
    • Handle: RePEc:eee:phsmap:v:303:y:2002:i:3:p:427-438
    DOI: 10.1016/S0378-4371(01)00561-1
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    Cited by:

    1. Yulmetyev, Renat & Demin, Sergey & Emelyanova, Natalya & Gafarov, Fail & Hänggi, Peter, 2003. "Stratification of the phase clouds and statistical effects of the non-Markovity in chaotic time series of human gait for healthy people and Parkinson patients," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 319(C), pages 432-446.
    2. Yulmetyev, Renat M. & Emelyanova, Natalya A. & Demin, Sergey A. & Gafarov, Fail M. & Hänggi, Peter & Yulmetyeva, Dinara G., 2004. "Non-Markov stochastic dynamics of real epidemic process of respiratory infections," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 331(1), pages 300-318.

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