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Матем. сб., 1970, том 81(123), номер 1, страницы 92–103 (Mi msb3363)  

Эта публикация цитируется в 250 научных статьях (всего в 250 статьях)

К вопросу о структуре расширенной окрестности грубого состояния равновесия типа седло-фокус

Л. П. Шильников


Аннотация: Установлено, что в окрестности траектории, двоякоасимптотической к грубому состоянию равновесия типа седло-фокус, при общих остальных предположениях на динамическую систему существует подсистема, траектории которой находятся во взаимно однозначном соответствии с множеством, являющимся факторпространством топологической схемы Бернулли с бесконечным множеством символов.
Библиография: 10 названий.

Полный текст: PDF файл (1159 kB)
Список литературы: PDF файл   HTML файл

Англоязычная версия:
Mathematics of the USSR-Sbornik, 1970, 10:1, 91–102

Реферативные базы данных:

УДК: 517.9
MSC: 37G20, 11B68, 37G15
Поступила в редакцию: 28.03.1969

Образец цитирования: Л. П. Шильников, “К вопросу о структуре расширенной окрестности грубого состояния равновесия типа седло-фокус”, Матем. сб., 81(123):1 (1970), 92–103; L. P. Shilnikov, “A contribution to the problem of the structure of an extended neighborhood of a rough equilibrium state of saddle-focus type”, Math. USSR-Sb., 10:1 (1970), 91–102

Цитирование в формате AMSBIB
\RBibitem{Shi70}
\by Л.~П.~Шильников
\paper К~вопросу о~структуре расширенной окрестности грубого состояния равновесия типа седло-фокус
\jour Матем. сб.
\yr 1970
\vol 81(123)
\issue 1
\pages 92--103
\mathnet{http://mi.mathnet.ru/msb3363}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=259275}
\zmath{https://zbmath.org/?q=an:0193.05301|0216.11201}
\transl
\by L.~P.~Shilnikov
\paper A~contribution to the problem of the structure of an extended neighborhood of a~rough equilibrium state of saddle-focus type
\jour Math. USSR-Sb.
\yr 1970
\vol 10
\issue 1
\pages 91--102
\crossref{https://doi.org/10.1070/SM1970v010n01ABEH001588}


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