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ISSN:2164-6376 (print)
ISSN:2164-6414 (online)
Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA

Email: dr.volchenkov@gmail.com

Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania

Email: dumitru.baleanu@gmail.com

Modular Chaos for Random Processes

Discontinuity, Nonlinearity, and Complexity 11(2) (2022) 191--201 | DOI:10.5890/DNC.2022.06.001

Marat Akhmet

Department of Mathematics, Middle East Technical University, 06800 Ankara, Turkey

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Abstract

We apply the method of domain structured chaos for a dynamics with orbits whirling among infinitely many modules. Thus, the conservative conditions of chaos existence are weakened to model irregular dynamics. The research proves that the Poincar\'{e} chaos is of exceptional use for analysis of stochastic processes. Examples, illustrating the results are provided.

Acknowledgments

The author has been supported by 2247-A National Leading Researchers Program of TUBITAK, Theory of unpredictable oscillations and applications to neural networks dynamics, Turkey, N 120C138.

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