Determination of the largest Lyapunov exponent of chaos in the dynamics of hazardous parameters of a gas environment for the rapid ignition detection

Authors

DOI:

https://doi.org/10.15587/2706-5448.2025.345030

Keywords:

largest Lyapunov exponent, operational detection of ignition, dangerous parameters of the gas environment, premises

Abstract

The object of research is the largest Lyapunov exponent of the dynamics of hazardous gas environment parameters in premises at intervals of reliable absence and presence of ignition of materials in premises. The problem is to determine and develop a strategy for using the largest Lyapunov exponent on a one-dimensional sample of real contaminated measurements of hazardous gas environment parameters in premises for the prompt detection of material ignitions. An experimental verification of the determination of the largest Lyapunov exponent of the dynamics of the main hazardous gas environment parameters during ignition of materials in a laboratory chamber at intervals of reliable absence and occurrence of ignition was performed. It was established that during ignition of materials, the values of the largest Lyapunov exponent indicate a decrease in stability and a transition to chaos in the dynamics of temperature and carbon monoxide concentration for all the test materials under study. This indicates a loss of the degree of “order” in the dynamics of temperature and carbon monoxide concentration. At the same time, the value of the largest Lyapunov exponent of the dynamics of the specific optical density of smoke does not change significantly and remains stable with some decrease in stability during ignition of the material. It was found that the use of such a parameter for detecting the ignition of materials has significant advantages in the case of using the dynamics of temperature and carbon monoxide concentration of the gas environment of the premises. The results obtained are useful from a theoretical point of view for determining the largest Lyapunov exponent for a one-dimensional sample of real contaminated measurements for an arbitrary dangerous parameter of the gas environment at an arbitrary observation interval. The practical significance lies in the possibility of further improving existing fire protection systems of objects in order to prevent fires.

Author Biographies

Igor Tolok, National University of Civil Protection of Ukraine

PhD, Associate Professor, Rector

Boris Pospelov

Doctor of Technical Sciences, Professor, Independent Researcher

Evgenіy Rybka, National University of Civil Protection of Ukraine

Doctor of Technical Sciences, Professor

Science and Innovation Center

Serhii Savchenko, National University of Civil Protection of Ukraine

Vice-Rector

Yurii Kozar, Uzhhorod National University

Doctor of Legal Sciences, Professor

Department of Theory and History of State and Law

Olekcii Krainiukov, V. N. Karazin Kharkiv National University

Doctor of Geographical Sciences, Professor

Department of Ecology and Environmental Management

Konstantin Sporyshev, National Academy of the National Guard of Ukraine

Doctor of Science in Public Administration

Educational and Scientific Institute for Management Training

Larysa Maladyka, National University of Civil Protection of Ukraine

PhD, Associate Professor

Department of Fire Prevention in Populated Areas

Vyacheslav Surianinov, Odesa State Academy of Civil Engineering and Architecture

PhD

Department of Reinforced Concrete Constructions and Transport Constructions

Maksym Harifullin, Lviv State University of Internal Affairs

PhD

Research Center

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Determination of the largest Lyapunov exponent of chaos in the dynamics of hazardous parameters of a gas environment for the rapid ignition detection

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Published

2025-12-29

How to Cite

Tolok, I., Pospelov, B., Rybka, E., Savchenko, S., Kozar, Y., Krainiukov, O., Sporyshev, K., Maladyka, L., Surianinov, V., & Harifullin, M. (2025). Determination of the largest Lyapunov exponent of chaos in the dynamics of hazardous parameters of a gas environment for the rapid ignition detection. Technology Audit and Production Reserves, 6(3(86), 21–26. https://doi.org/10.15587/2706-5448.2025.345030

Issue

Vol. 6 No. 3(86) (2025): Chemical engineering

Section

Ecology and Environmental Technology

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Copyright (c) 2025 Igor Tolok, Boris Pospelov, Evgenіy Rybka, Serhii Savchenko, Yurii Kozar, Olekcii Krainiukov, Konstantin Sporyshev, Larysa Maladyka, Vyacheslav Surianinov, Maksym Harifullin

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