Construction of the method for semi-adaptive threshold scaling transformation when computing recurrent plots

Authors

DOI:

https://doi.org/10.15587/1729-4061.2019.176579

Keywords:

recurrent plot, complex dynamic systems, semi-adaptive threshold transformation, atmospheric pollution

Abstract

A method has been constructed for the threshold semi-adaptive scaling transformation. The method provides calculation of recurrent plots, which adequately map the dynamics of real complex dynamic systems in natural and technical spheres. A new scientific result implies the development of theoretical basis for the method of semi-adaptive scaling transformation of the threshold during calculation of recurrent plots by improvement of linear normalized spaces due to introduction of a scalar product of vectors. The proposed method of threshold transformation provides computation of recurrent plots with increased information content, invariance to parameters of measured state vectors, and irregularity of measurements. We performed tests of operability of the proposed method of semi-adaptive scaling transformation of the threshold based on experimental measurements of concentrations of formaldehyde, ammonia, and carbon monoxide in atmospheric air in a typical industrial city with conventional stationary and mobile sources of pollution.

Taking into account the proposed method of semi-adaptive scaling transformation, the obtained results of the calculation of recurrent plots confirmed its operability in general. It was found that the calculation of RP during the semi-adaptive transformation of the threshold for various α angular dimensions of a recurrence cone, equal to 1°, 5°, 10°, and 20°, indicates that accuracy of recurrent plots in detection of dangerous states in dynamic systems increases with a decrease in angular dimensions of a cone. It was established experimentally that the values of angular dimensions of the recurrence cone should be 1–5° for adequate mapping of recurrent states of real dynamic systems with the use of calculated recurrent plots

Author Biographies

Boris Pospelov, 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

Violeta Togobytska, National University of Civil Defence of Ukraine Chernyshevska str., 94, Kharkiv, Ukraine, 61023

PhD

Research Center

Ruslan Meleshchenko, National University of Civil Defence of Ukraine Chernyshevska str., 94, Kharkiv, Ukraine, 61023

PhD, Associate Professor

Department of Fire and Rescue Training

Yuliya Danchenko, Kharkiv National University of Civil Engineering and Architecture Sumska str., 40, Kharkiv, Ukraine, 61002

PhD, Associate Professor

Department of General Chemistry

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

PhD, Senior Research

Department of Organization and Coordination of Research Activities

Ihor Volkov, National Academy of the National Guard of Ukraine Zakhysnykiv Ukrainy sq., 3, Kharkіv, Ukraine, 61001

Scientific Research Center of Service and Military Activities

Oled Gafurov, National Academy of the National Guard of Ukraine Zakhysnykiv Ukrainy sq., 3, Kharkіv, Ukraine, 61001

PhD

Department of Technical and Logistics Support

Vadym Yevsieiev, National Academy of the National Guard of Ukraine Zakhysnykiv Ukrainy sq., 3, Kharkіv, Ukraine, 61001

PhD

Department of Special Tactics Preparation

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Published

2019-08-21

How to Cite

Pospelov, B., Rybka, E., Togobytska, V., Meleshchenko, R., Danchenko, Y., Butenko, T., Volkov, I., Gafurov, O., & Yevsieiev, V. (2019). Construction of the method for semi-adaptive threshold scaling transformation when computing recurrent plots. Eastern-European Journal of Enterprise Technologies, 4(10 (100), 22–29. https://doi.org/10.15587/1729-4061.2019.176579

Issue

Vol. 4 No. 10 (100) (2019): Ecology

Section

Ecology

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Copyright (c) 2019 Boris Pospelov, Evgeniy Rybka, Violeta Togobytska, Ruslan Meleshchenko, Yuliya Danchenko, Tetiana Butenko, Ihor Volkov, Oled Gafurov, Vadym Yevsieiev

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