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Maximal Attractors in Nonideal Hydrodynamic Systems

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14th Chaotic Modeling and Simulation International Conference (CHAOS 2021)

Part of the book series: Springer Proceedings in Complexity ((SPCOM))

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Abstract

Some nonideal hydrodynamic systems of the type “tank with fluid - source of excitation of oscillation” are considered. New types of limit sets of such systems, so called maximal attractors, have been discovered and described. It was found that the maximal attractors can be both regular and chaotic. Main characteristics of the described maximal attractors are analyzed in details. Transitions to deterministic chaos in such systems are considered. Despite the fact that maximal attractors are not attractors in the traditional sense of this term, it is shown that the transition from regular maximal attractors to chaotic maximal attractors can occur by known before scenarios transition to chaos for “usual” attractors.

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Author information

Authors and Affiliations

  1. National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institue”, Kyiv, Ukraine

    Aleksandr Shvets & Serhii Donetskyi

Authors
  1. Aleksandr Shvets
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  2. Serhii Donetskyi
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Correspondence to Aleksandr Shvets .

Editor information

Editors and Affiliations

  1. ManLab, Technical University of Crete, Chania, Crete, Greece

    Christos H. Skiadas

  2. Department of Management Science and Technology, Hellenic Mediterranean University, Agios Nikolaos, Crete, Lasithi, Greece

    Yiannis Dimotikalis

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Shvets, A., Donetskyi, S. (2022). Maximal Attractors in Nonideal Hydrodynamic Systems. In: Skiadas, C.H., Dimotikalis, Y. (eds) 14th Chaotic Modeling and Simulation International Conference. CHAOS 2021. Springer Proceedings in Complexity. Springer, Cham. https://doi.org/10.1007/978-3-030-96964-6_31

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