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Bifurcation Analysis and Synergetic Management of the Dynamic System “Intermediary Activity”

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Book cover 13th International Conference on Theory and Application of Fuzzy Systems and Soft Computing — ICAFS-2018 (ICAFS 2018)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 896))

Abstract

The full bifurcation analysis of the mathematical model of the dynamic system “Intermediary activity” proposed by V. P. Milovanov is carried out in the article. Using the poincaré transform, the behavior of trajectories at infinity is investigated. Two logically possible phase portraits of the system were obtained using theoretical analysis and numerical experiment in the Matlab package. The system of additive control of both cash and commodity flows is constructed by the method of analytical construction of aggregated regulators to achieve a given dynamic equilibrium from an arbitrary initial state. Dedicated class a valid reachable States. The stability of such state as a whole is proved. This model makes it possible to predict the development of the process for any given initial state of the system in advance, as well as to control the parameters of the system for designing a given dynamic equilibrium in advance.

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Author information

Authors and Affiliations

  1. Don State Technical University, Gagarin square, 1, Rostov-on-Don, Russia

    Alexander V. Bratishchev

  2. Rostov State University of Economics, Bolshaya Sadovaya Street, 69, 344002, Rostov-on-Don, Russia

    Galina A. Batishcheva & Maria I. Zhuravleva

Authors
  1. Alexander V. Bratishchev
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  2. Galina A. Batishcheva
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  3. Maria I. Zhuravleva
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Corresponding author

Correspondence to Galina A. Batishcheva .

Editor information

Editors and Affiliations

  1. Joint MBA Program, Azerbaijan State Oil and Industry University, Baku, Azerbaijan

    Rafik A. Aliev

  2. Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

    Janusz Kacprzyk

  3. Department of Electrical and Computer Engineering, University of Alberta, Edmonton, AB, Canada

    Witold Pedrycz

  4. Department of Electrical and Computer Engineering, University of Texas at San Antonio, San Antonio, TX, USA

    Mo. Jamshidi

  5. Department of Mechatronics, Near East University, Nicosia TRNC, Turkey

    Fahreddin M. Sadikoglu

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Bratishchev, A.V., Batishcheva, G.A., Zhuravleva, M.I. (2019). Bifurcation Analysis and Synergetic Management of the Dynamic System “Intermediary Activity”. In: Aliev, R., Kacprzyk, J., Pedrycz, W., Jamshidi, M., Sadikoglu, F. (eds) 13th International Conference on Theory and Application of Fuzzy Systems and Soft Computing — ICAFS-2018. ICAFS 2018. Advances in Intelligent Systems and Computing, vol 896. Springer, Cham. https://doi.org/10.1007/978-3-030-04164-9_86

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