Ideal Turbulence as a Kind of Disturbed Chaos: Brief Essay

IF 0.5 4区数学 Q3 MATHEMATICS

Ukrainian Mathematical Journal Pub Date : 2024-04-29 DOI:10.1007/s11253-024-02297-9

Olena Romanenko, Abdyvali Akbergenov

引用次数: 0

Abstract

We outline key points of the concept of ideal turbulence offering novel scenarios for distributed chaos 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 (without internal resistance) models of various processes related to electromagnetic or acoustic 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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作为一种受扰混沌的理想湍流：简论

我们概述了理想湍流概念的要点，它不是基于吸引子的几何-动力学复杂性，而是基于吸引子元素极其复杂的空间结构，为分布式混沌提供了新的方案。在与电磁或声学振荡有关的各种过程的理想化（无内阻）模型中，可以观察到理想湍流。这种理想化大大简化了分析，同时，在许多情况下，对实际过程提供了相当充分的描述。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Ukrainian Mathematical Journal MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

0.90

自引率

20.00%

发文量

107

审稿时长

4-8 weeks

期刊介绍： Ukrainian Mathematical Journal publishes articles and brief communications on various areas of pure and applied mathematics and contains sections devoted to scientific information, bibliography, and reviews of current problems. It features contributions from researchers from the Ukrainian Mathematics Institute, the major scientific centers of the Ukraine and other countries. Ukrainian Mathematical Journal is a translation of the peer-reviewed journal Ukrains’kyi Matematychnyi Zhurnal, a publication of the Institute of Mathematics of the National Academy of Sciences of Ukraine.