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Chaos, Bifurcations and Strange Attractors in Environmental Radioactivity Dynamics of Some Geosystems

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Perspectives in Dynamical Systems II: Mathematical and Numerical Approaches (DSTA 2019)

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Abstract

The theoretical foundations and further application of an effective universal chaos-geometric approach to analysis and processing the data of radioactivity dynamics in environment are presented. The approach presented includes a group of advanced available methods or new ones (the correlation integral and fractal analysis methods, the average mutual information and false nearest neighbors algorithms, the Lyapunov’s exponents and Kolmogorov entropy analysis, the surrogate data method, different algorithms of non-linear prediction models, spectral methods, etc.) to provide accurate numerical modeling and analysis of temporal dynamics of the atmospheric pollutants. The numerical results of analysis, modelling the radon concentration in the atmospheric environment are listed. The topological and dynamical invariants data for the 222Rn concentration time series are computed with using the measurements data by the US Environmental Measurements Laboratory and Goddard Institute of Space Studies.

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Author information

Authors and Affiliations

  1. Odessa State Environmental University, Odessa, Ukraine

    Alexander V. Glushkov, Olga Yu. Khetselius, Sergiy M. Stepanenko & Eugeny V. Ternovsky

Authors
  1. Alexander V. Glushkov
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  2. Olga Yu. Khetselius
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  3. Sergiy M. Stepanenko
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  4. Eugeny V. Ternovsky
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  1. Department of Automation, Biomechanics and Mechatronics, Lodz University of Technology, Lodz, Poland

    Jan Awrejcewicz

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Glushkov, A.V., Khetselius, O.Y., Stepanenko, S.M., Ternovsky, E.V. (2021). Chaos, Bifurcations and Strange Attractors in Environmental Radioactivity Dynamics of Some Geosystems. In: Awrejcewicz, J. (eds) Perspectives in Dynamical Systems II: Mathematical and Numerical Approaches. DSTA 2019. Springer Proceedings in Mathematics & Statistics, vol 363. Springer, Cham. https://doi.org/10.1007/978-3-030-77310-6_8

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