Delay factors and genesis of the limit sets for a nonideal “tank with liquid–electric motor” system

UDC 517.929, 517.938, 534.14 We study a "tank with liquid–electric motor" nonideal deterministic system.  Two delay-approximation models are considered.  The impacts of the delays on the emergence, evolution, and decay  of both regular and chaotic limit sets (attractors) of the sys...

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Bibliographic Details
Date:2026
Main Authors: Seit-Dzhelil, I., Shvets, A., Сеїт-Джеліль, Ільмі, Швець, Олександр
Format: Article
Language:Ukrainian
Published: Institute of Mathematics, NAS of Ukraine 2026
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/9782
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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Summary:UDC 517.929, 517.938, 534.14 We study a "tank with liquid–electric motor" nonideal deterministic system.  Two delay-approximation models are considered.  The impacts of the delays on the emergence, evolution, and decay  of both regular and chaotic limit sets (attractors) of the system are investigated. The main dynamic characteristics of the  steady-state modes of the system are computed and analyzed. Various scenarios of transition to chaos  are investigated. The realization of the generalized intermittency scenario driven by delay factors is established.
DOI:10.3842/umzh.v78i3-4.9782