Главная    Ex Libris    Книги    Журналы    Статьи    Серии    Каталог    Wanted    Загрузка    ХудЛит    Справка    Поиск по индексам    Поиск    Форум   

Поиск по указателям

Jensen R.V., Jessup E.R. — Statistical Properties of the Circle Map
Jensen R.V., Jessup E.R. — Statistical Properties of the Circle Map

Читать книгу

Скачать книгу с нашего сайта нельзя

Обсудите книгу на научном форуме

Нашли опечатку?
Выделите ее мышкой и нажмите Ctrl+Enter

Название: Statistical Properties of the Circle Map

Авторы: Jensen R.V., Jessup E.R.


Journal of Statistical Physics, Vol. 43, Nos. 1/2, 1986. p. 369-390.
The circle map provides a generic model for the response of damped, nonlinear oscillators to periodic perturbations. As the parameters are varied this dynamical system exhibits transitions from regular, ordered behavior to chaos. In this paper the regular and irregular behavior of the circle map are examined for a broad range of nonlinearities and frequencies which span not only the regular and transition regimes, which have been studied extensively, but also the strongly nonlinear, chaotic regime. We discuss the bistable behavior (split bifurcations) associated with maps with multiple extrema that gives rise to two disjoint attractors which can be periodic or chaotic and to the low order periodic orbits emerging from chaos via tangent bifurcations. To describe the chaotic behavior we use a statistical description based on a path integral formulation of classical dynamics. This path integral method provides a convenient means of calculating statistical properties of the nonlinear dynamics, such as the invariant measure of the average Lyapunov exponent, which in many cases reduce to analytic expressions or to numerical calculations which can be completed in a fraction of the time required to explicitly iterate the map.

Язык: en

Рубрика: Физика/

Тип: Статья

Статус предметного указателя: Неизвестно

ed2k: ed2k stats

Год издания: 1986

Количество страниц: 22

Добавлена в каталог: 03.11.2013

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
Предметный указатель
       © Электронная библиотека попечительского совета мехмата МГУ, 2004-2019
Электронная библиотека мехмата МГУ | Valid HTML 4.01! | Valid CSS! О проекте