Известия высших учебных заведений

Прикладная нелинейная динамика

ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

Для цитирования:

Безручко Б. П., Пономаренко В. И., Селезнев Е. П. Экспериментальные исследования хаотической динамики рядом с Теоретиком // Известия вузов. ПНД. 2021. Т. 29, вып. 1. С. 88-135. DOI: 10.18500/0869-6632-2021-29-1-88-135

Статья опубликована на условиях лицензии Creative Commons Attribution 4.0 International (CC-BY 4.0).
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Язык публикации: 
русский
Рубрика: 
Бифуркации в динамических системах. Детерминированный хаос. Квантовый хаос.
Тип статьи: 
Обзорная статья
УДК: 
517.9:534.1
DOI: 
10.18500/0869-6632-2021-29-1-88-135

Экспериментальные исследования хаотической динамики рядом с Теоретиком

Авторы: 
Безручко Борис Петрович, Саратовский национальный исследовательский государственный университет имени Н.Г. Чернышевского (СГУ)
Пономаренко Владимир Иванович, Саратовский филиал Института радиотехники и электроники имени В.А. Котельникова РАН (СФ ИРЭ)
Селезнев Евгений Петрович, Саратовский филиал Института радиотехники и электроники имени В.А. Котельникова РАН (СФ ИРЭ)
Аннотация: 

Целью данной работы является составление обзора по работам, в которых проводились экспериментальные исследования закономерностей хаотической динамики, выявленные в теоретически в работах С.П. Кузнецова. Методы. В основе используемых методов исследования в первую очередь лежит построение экспериментальных схем, которые наиболее близко соответствуют математическим моделям, предложенным и теоретически и численно исследованным С.П. Кузнецовым. В качестве таковых выступают системы радиотехнических осцилляторов с различными типами связи и воздействия, автогенераторы с различными типами обратной связи. Результаты. На примере лампы обратной волны исследован переход к хаосу в системе электронный пучок – обратная электромагнитная волна. На примере связанных нелинейных радиотехнических осцилляторов с синфазным возбуждением продемонстрированы открытые С.П. Кузнецовым универсальные закономерности и законы подобия связанных систем с удвоением периода. Представлены результаты экспериментального исследования радиофизических устройств, на примере которых выполнена верификация универсальных закономерностей критического поведения двух однонаправленно связанных систем с удвоениями периода. Представлены результаты совместных с С.П. Кузнецовым экспериментальных исследований, в которых впервые в мире представлены убедительные доводы существования перехода к хаосу через рождение странного нехаотического аттрактора. Представлена экспериментальная система с запаздывающей обратной связью для проверки теоретических закономерностей, проявляющихся на пороге перехода к хаосу. Экспериментально реализована разработанная С.П. Кузнецовым схема автогенератора гиперболического хаоса, который, по всей видимости, является первым в мире из известных примеров физической системы с грубым хаосом.

Ключевые слова: 
универсальность
скейлинг
критическое поведение
удвоения периода
квазипериодичность
Странный нехаотический аттрактор
Гиперболический хаос
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Поступила в редакцию: 
16.11.2020
Принята к публикации: 
27.11.2020
Опубликована: 
01.02.2021
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