Informational Description of Systemic Crises

  • Authors

    • Yudenkov A.V
    • Terentyev S.E.
    • Kovaleva A.E
    2018-12-09
    https://doi.org/10.14419/ijet.v7i4.36.24917
  • analysis, Brownian motion, entropy, system crisis, Heisenberg uncertainty, phase space, phase transitions, Langevin equation.
  • The paper studies the possibility of determining and classifying the crisis as a complex system by a remote observer on the basis of subjective information. Description and analysis of complex systems is a fundamentally unsolvable problem. However, there may be a partial solution to the problem through the use of multilevel modeling. Therefore, the development of new fairly common methods for modeling complex systems is an urgent task. The aim of the work is to develop fairly common methods of modeling complex systems in crisis. For this purpose, the evolution of the system is considered at three levels: micro level, meso level and macro level. At the micro level such concepts as unit of information, growth of information are considered. At the macro level, two models describing system crises are proposed. The simulation is based on stochastic differential equations and the theory of phase transitions. At the micro level, the process of transition from one stable state to another is studied. It is assumed that the remote macroscopic observer receives information about the evolution of the system. The new results include the following. A new interpretation of information from the quantum-statistical point of view. Unlike Shannon’s information in this paper, the information is associated with the phase space of the system. This makes it possible to apply basic physical and mathematical methods to the study of the evolution of different nature of systems. An analogue of the second principle of thermodynamics at the micro level-the principle of maximum information is obtained. The obtained results allowed justifying the use of Langevin equations for crisis modeling, as well as to obtain an analogy between the types of crises and phase transitions. The paper considers illustrating examples of complex systems in the process of transition from one stable state to another.

     

  • References

    1. [1] Adigamov A.E., Belokopytov A.V., Yudenkov A.V. Modeling of anti-crisis management on the basis of system analysis // Mining analytical bulletin (scientific and technical journal), 2009. No. 7. P.42-47.

      [2] Adigamov A.E., Sapkina E.A., Yudenkov A.V. Mathematical modeling of conflict situations between the subjects of the agricultural market on the example of processing enterprises of Smolensk region. // Mining information-analytical bulletin (scientific-technical journal), 2012. No. 6. P. 363-365.

      [3] Arzhakova N.V., Novoseltsev V.I., Redkozubov S.A. Market dynamics management: system approach – Voronezh: Publ. house of Voronezh State University, 2004. – 192 p.

      [4] Volodchenkov A.M., Yudenkov A.V., Rimskaya L.P. Quantization of information in the symplectic variety // In the collection: Socio-economic development of the region: experience, problems, innovations (materials of the VI International scientific-practical conference in the framework of Plekhanov’s spring and the 110th anniversary of the University). Ministry of education and science of the Russian Federation. G.V. Plekhanov Russian University. Smolensk branch, 2017. P. 41-46.

      [5] Kovaleva A.E. Theoretical aspects of cluster management in agro-industrial complex. // Economics and entrepreneurship, 2016. â„– 1-2 (66-2). P. 41-43.

      [6] Kovaleva A.E. Cluster management of the agricultural sector in terms of investment instability // Science and business: ways of development, 2016. No. 2. P. 19-22.

      [7] Landau L.D., Lifshitz E.M. Theoretical mechanics Vol. 3. Quantum mechanics – M.: Nauka, 1989. –768 p.

      [8] Landau L.D., Lifshitz E.M. Theoretical mechanics Vol. 5. Statistical mechanics – M.: Nauka, 1989. – 626 p.

      [9] Oksendal B. Stochastic differential equations. – M: Mir, Publishing house AST, 2003. – 408 p.

      [10] Pugachev V.S., Sinitsyn I.N. The theory of stochastic systems. Textbook.- Moscow: Logos, 2004. – 1000p..

      [11] Haken G. Information and self-organization. - M: KomKniga, 2005. – 248p.

      [12] Yudenkov A.V. Brownian motion of microparticles on a discrete symplectic phase space // In the book: Food safety: from dependence to independence. Proceedings of the international scientific-practical conference, 2017. P. 712-714.

      [13] Port S., Stone C. (1979): Brownian Motion and Classical Potential Theory. Academic Press.

      [14] 14. Geim A.K. Graphene prehistory // Physica Scripta. 2012. № T146. С. 140-143.

      [15] 15. Shirokov B.M., Gromakovskaya L.A. Distribution of values of the sum of unitary divisors in residue classes // Проблемы анализа, 2016. Т. 5 (23). № 1. С. 31-44.

      [16] 16. Logachev O.A. On the local invertibility of finite automata with no loss of information // Applied discrete mathematics, 2018. No. 39. P. 78-93.

      [17] 17. Kochnev A.S., Ovid'ko I.A., Semenov B.N., Sevastyanov Ya.A. Mechanical properties of graphene containing elongated tetravacancies (575757-666-5757 defects) // Reviews on Advanced Materials Science, 2017. Т. 48. № 2. С. 142-146.

      [18] 18. Bure V.M., Yefimov A.N., Karelin V.V. Stationary cycles in the deterministic service system // Vestnik of St. Petersburg University. Applied mathematics. Informatics. Management processes, 2018. Vol. 14. No. 1. P. 40-50.

      [19] 19. Karelin V.V., Bure V.M., Svirkin M.V. Generalized model of information dissemination in continuous time // Bulletin of St. Petersburg University. Applied mathematics. Informatics. Management processes, 2017. Vol.13. No. 1. P. 74-80.

      [20] 20. Belyaeva M.V., Mitrofanov M.Yu. New results in the theory of search // Discrete analysis and operations research. Series 2, 2004. Vol. 11. No. 1. P. 26-50.

      [21] 21. Bartlett J.G., Bucher M., Cardoso J.-F., Castex G., Delabrouille J., Ganga K., Gauthier C., Giraud-Héraud Y., Karakci A., Le Jeune M., Patanchon G., Piat M., Remazeilles M., Roman M., Rosset C., Roudier G., Stompor R., Lähteenmäki A., León-Tavares J., Tornikoski M. et al. Planck 2015 results: I.overview of products and scientific results // Astronomy and Astrophysics, 2016. Т. 594. С. A1.

  • Downloads

  • How to Cite

    A.V, Y., S.E., T., & A.E, K. (2018). Informational Description of Systemic Crises. International Journal of Engineering & Technology, 7(4.36), 899-903. https://doi.org/10.14419/ijet.v7i4.36.24917