Ideal turbulence as a kind of distributed chaos: brief essay
UDC 517.9+519.14 We outline the key points of the concept of ideal turbulence  offering novel scenarios for distributed chaos, which are based not on the geometric-dynamical complexity of the attractor but on the extremely complex spatial structure of elements of the attractor.&...
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| Дата: | 2024 |
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| Автори: | , , , |
| Формат: | Стаття |
| Мова: | Українська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2024
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/7591 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
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Ukrains’kyi Matematychnyi Zhurnal| Резюме: | UDC 517.9+519.14
We outline the key points of the concept of ideal turbulence  offering novel scenarios for distributed chaos, which are based not on the geometric-dynamical complexity of the attractor but on the extremely complex spatial structure of elements of the attractor.  Ideal turbulence is observed in idealized (neglecting internal resistance) models of various processes related to electromagnetic or sound oscillations.  This idealization significantly simplifies the analysis and, at the same time, in many cases, provides a quite adequate description of real processes. |
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| DOI: | 10.3842/umzh.v75i12.7591 |