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Стохастические автоколебания и турбулентность


Федеральный исследовательский центр Институт прикладной физики им. А.В. Гапонова-Грехова Российской академии наук, ул. Ульянова 46, Нижний Новгород, 603000, Российская Федерация

Содержание: Введение. Хаос в автоколебательных системах. Математические признаки стохастичности. Стохастический автогенератор. Символическая динамика. Энтропия динамических систем. Эффект бабочки. Приложения к биологии. Странные аттракторы и гиперболичность. Физические механизмы, приводящие к странным аттракторам. Разрушение многопериодических движений — конкуренция, синхронизация, хаос. Вынужденная синхронизация и стохастизация пульсаций в лазерах. Распадный механизм возникновения стохастичности. Стохастическая стадия параметрической неустойчивости в плазме и модель Лоренца. Аттрактор Лоренца. О консервативных механизмах. Много мод — развитая турбулентность. Конечномерное описание гидродинамической турбулентности. Двумерная гидродинамика. Соотношение с экспериментом. Термоконвекция. Течение Куэтта между вращающимися цилиндрами. Пограничный слой. След за телом в потоке. Турбулентная конвекция в ячейке Хеле — Шоу. Переход к турбулентности в течении Куэтта между цилиндрами. Роль распадов в возникновении турбулентности. Заключение. Цитированная литература.

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English fulltext is available at DOI: 10.1070/PU1978v021n05ABEH005555
PACS: 47.25.-c, 02.50.Ey
DOI: 10.3367/UFNr.0125.197805g.0123
URL: https://ufn.ru/ru/articles/1978/5/g/
Цитата: Рабинович М И "Стохастические автоколебания и турбулентность" УФН 125 123–168 (1978)
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English citation: Rabinovich M I “Stochastic self-oscillations and turbulence” Sov. Phys. Usp. 21 443–469 (1978); DOI: 10.1070/PU1978v021n05ABEH005555

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