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Изв. АН СССР. Сер. матем., 1976, том 40, выпуск 6, страницы 1332–1379 (Mi izv2262)  

Эта публикация цитируется в 108 научных статьях (всего в 108 статьях)

Семейства инвариантных многообразий, отвечающие ненулевым характеристическим показателям

Я. Б. Песин


Аннотация: Доказывается теорема об условной устойчивости для семейства отображений класса $C^{1+\varepsilon}$, удовлетворяющих условию, более общему, чем условие правильности по Ляпунову. С помощью этой теоремы строятся семейства инвариантных многообразий для диффеоморфизма гладкого многообразия на множестве, где хотя бы один характеристический показатель Ляпунова отличен от нуля. Для этих семейств доказывается свойство абсолютной непрерывности.
Библиография: 10 названий.

Полный текст: PDF файл (3652 kB)
Список литературы: PDF файл   HTML файл

Англоязычная версия:
Mathematics of the USSR-Izvestiya, 1976, 10:6, 1261–1305

Реферативные базы данных:

УДК: 517.9
MSC: 58F15, 58F10
Поступило в редакцию: 02.03.1976

Образец цитирования: Я. Б. Песин, “Семейства инвариантных многообразий, отвечающие ненулевым характеристическим показателям”, Изв. АН СССР. Сер. матем., 40:6 (1976), 1332–1379; Math. USSR-Izv., 10:6 (1976), 1261–1305

Цитирование в формате AMSBIB
\RBibitem{Pes76}
\by Я.~Б.~Песин
\paper Семейства инвариантных многообразий, отвечающие ненулевым характеристическим показателям
\jour Изв. АН СССР. Сер. матем.
\yr 1976
\vol 40
\issue 6
\pages 1332--1379
\mathnet{http://mi.mathnet.ru/izv2262}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=458490}
\zmath{https://zbmath.org/?q=an:0372.58009}
\transl
\jour Math. USSR-Izv.
\yr 1976
\vol 10
\issue 6
\pages 1261--1305
\crossref{https://doi.org/10.1070/IM1976v010n06ABEH001835}


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