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УМН, 1977, том 32, выпуск 6(198), страницы 5–66 (Mi umn3304)  

Эта публикация цитируется в 257 научных статьях (всего в 258 статьях)

Экспоненциальная оценка времени устойчивости гамильтоновых систем, близких к интегрируемым

Н. Н. Нехорошев


Аннотация: Оценивается снизу промежуток времени, в течение которого отклонение переменных действия от начальных значений в системах, близких к интегрируемым, будет много меньше единицы. Доказано, что при убывании возмущения этот промежуток времени для всех решений системы растет немедленнее, чем экспонента некоторой степени обратной величины возмущения. Оценка доказана для систем с невозмущенным гамильтонианом общего вида.
Библ. 37 назв.

Полный текст: PDF файл (7284 kB)
Список литературы: PDF файл   HTML файл

Англоязычная версия:
Russian Mathematical Surveys, 1977, 32:6, 1–65

Реферативные базы данных:

УДК: 519.9
MSC: 70H08, 70H14, 70H12, 37J40
Поступила в редакцию: 04.01.1977

Образец цитирования: Н. Н. Нехорошев, “Экспоненциальная оценка времени устойчивости гамильтоновых систем, близких к интегрируемым”, УМН, 32:6(198) (1977), 5–66; Russian Math. Surveys, 32:6 (1977), 1–65

Цитирование в формате AMSBIB
\RBibitem{Nek77}
\by Н.~Н.~Нехорошев
\paper Экспоненциальная оценка времени устойчивости гамильтоновых систем, близких к~интегрируемым
\jour УМН
\yr 1977
\vol 32
\issue 6(198)
\pages 5--66
\mathnet{http://mi.mathnet.ru/umn3304}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=501140}
\zmath{https://zbmath.org/?q=an:0383.70023|0389.70028}
\transl
\jour Russian Math. Surveys
\yr 1977
\vol 32
\issue 6
\pages 1--65
\crossref{https://doi.org/10.1070/RM1977v032n06ABEH003859}


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