Kazan (Volga region) Federal University, KFU
KAZAN
FEDERAL UNIVERSITY
 
MARKOV AND NON-MARKOV PROCESSES IN COMPLEX SYSTEMS BY THE DYNAMICAL INFORMATION ENTROPY
Form of presentationArticles in international journals and collections
Year of publication1999
  • Gafarov Fail Mubarakovich, author
  • Yulmetev Renat Muzipovich, author
  • Bibliographic description in the original language R.M Yulmetyev, , F.M Gafarov. Markov and non-Markov processes in complex systems by the dynamical information entropy. Physica A: Statistical Mechanics and its Applications Volume 274, Issues 1–2, 1 December 1999, Pages 381–384
    Annotation We consider the Markov and non-Markov processes in complex systems by the dynamical information Shannon entropy (DISE) method. The influence and important role of the two mutually dependent channels of entropy alternation (creation or generation of correlation) and anti-correlation (destroying or annihilation of correlation) have been discussed. The developed method has been used for the analysis of the complex systems of various natures: slow neutron scattering in liquid cesium, psychology (short-time numeral and pattern human memory and effect of stress on the dynamical taping-test), random dynamics of RR-intervals in human ECG (problem of diagnosis of various disease of the human cardio-vascular systems), chaotic dynamics of the parameters of financial markets and ecological systems
    Keywords Complex systems; Nonlinear phenomena; Markov and non-Markov processes; Dynamical information entropy; Creation and annihilation of correlation; Application to psychology; Cardiology; Finance and ecology
    The name of the journal PHYSICA A
    Please use this ID to quote from or refer to the card https://repository.kpfu.ru/eng/?p_id=89237&p_lang=2

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