Development of the correlation method for operative detection of recurrent states

Authors

DOI:

https://doi.org/10.15587/1729-4061.2019.187252

Keywords:

correlation of states, energy interaction, fragment of trajectory of states, recurrent states, complex dynamical systems, gas atmospheric pollution

Abstract

The correlation method for operative detection of recurrent states in complex dynamical systems at irregular measurements was proposed. The concepts of correlation for the case of the vectors of states of the trajectory of dynamics of complex systems and estimates of vectors correlation for a fixed length fragment moving along the trajectory were generalized. The space with scalar product of states vectors is used to implement the method. Estimation of the magnitudes of correlations of state vectors makes it possible to interpret them as corresponding levels of energy interaction of states vectors and to detect degree of their recurrence. In this case, calculation of the magnitudes of correlation are carried out only based on the known measurements of the state vector and does not require determining the threshold and the method of distance calculation, traditionally used in the methods of recurrent plots. The efficiency of the proposed method was tested on a specific example of experimental data of the actual dynamics of the vector of states of pollution of the urban atmosphere. The following gas pollutants were considered as components of the vector of state: formaldehyde, ammonia and carbon dioxide. The obtained results in general indicate the efficiency of the proposed method. It was established experimentally that the correlation method in case of irregular measurements of atmospheric contaminations ensures the authenticity of detection of recurrent states, corresponding to maximum correlation of states. In this case, the correlation assessment should be conducted for a movable fragment of a trajectory of the states vector. The length of the fragment should not be more than 10 responses

Author Biographies

Boris Pospelov, Scientific-Methodical Center of Educational Institutions in the Sphere of Civil Defence Chernyshevska str., 94, Kharkiv, Ukraine, 61023

Doctor of Technical Sciences, Professor

Department of Organization and Coordination of Research Activities

Vladimir Andronov, National University of Civil Defence of Ukraine Chernyshevska str., 94, Kharkiv, Ukraine, 61023

Doctor of Technical Sciences, Professor

Research Center

Evgeniy Rybka, National University of Civil Defence of Ukraine Chernyshevska str., 94, Kharkiv, Ukraine, 61023

Doctor of Technical Sciences, Senior Researcher

Research Center

Olekcii Krainiukov, V. N. Karazin Kharkiv National University Svobody sq., 4, Kharkiv, Ukraine, 61022

Doctor of Geographical Sciences, Associate Professor

Department of Ecological Safety and Environmental Education

Kostiantyn Karpets, V. N. Karazin Kharkiv National University Svobody sq., 4, Kharkiv, Ukraine, 61022

PhD, Associate Professor

Department of Ecology and Neoecology

Oleksandr Pirohov, National University of Civil Defence of Ukraine Chernyshevska str., 94, Kharkiv, Ukraine, 61023

PhD

Department of Fire Prevention in Settlements

Iryna Semenyshyna, State Agrarian and Engineering University in Podilya Shevchenka str., 13, Kamianets-Podilskyi, Ukraine, 32300

PhD, Associate Professor

Academic and Research Institute of Distance Learning

Ruslan Kapitan, Cherkasy State Technological University Shevchenka blvd., 460, Cherkasy, Ukraine, 18000

PhD

Department of Mechanics, Printing Machines and Technology

Alona Promska, National University of Civil Defence of Ukraine Chernyshevska str., 94, Kharkiv, Ukraine, 61023

PhD

Research Center

Oleksii Horbov, Military Institute of the Tank Troops National Technical University "Kharkiv Polytechnic Institute" Poltavskiy Shlyah str., 192, Kharkіv, Ukraine, 61000

PhD

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Published

2019-12-17

How to Cite

Pospelov, B., Andronov, V., Rybka, E., Krainiukov, O., Karpets, K., Pirohov, O., Semenyshyna, I., Kapitan, R., Promska, A., & Horbov, O. (2019). Development of the correlation method for operative detection of recurrent states. Eastern-European Journal of Enterprise Technologies, 6(4 (102), 39–46. https://doi.org/10.15587/1729-4061.2019.187252

Issue

Vol. 6 No. 4 (102) (2019): Mathematics and Cybernetics - applied aspects

Section

Mathematics and Cybernetics - applied aspects

License

Copyright (c) 2019 Boris Pospelov, Vladimir Andronov, Evgeniy Rybka, Olekcii Krainiukov, Kostiantyn Karpets, Oleksandr Pirohov, Iryna Semenyshyna, Ruslan Kapitan, Alona Promska, Oleksii Horbov

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