libcats.org
Главная

Hamiltonian and Lagrangian flows on center manifolds

Обложка книги Hamiltonian and Lagrangian flows on center manifolds

Hamiltonian and Lagrangian flows on center manifolds

The theory of center manifold reduction is studied in this monograph in the context of (infinite-dimensional) Hamil- tonian and Lagrangian systems. The aim is to establish a "natural reduction method" for Lagrangian systems to their center manifolds. Nonautonomous problems are considered as well assystems invariant under the action of a Lie group ( including the case of relative equilibria). The theory is applied to elliptic variational problemson cylindrical domains. As a result, all bounded solutions bifurcating from a trivial state can be described by a reduced finite-dimensional variational problem of Lagrangian type. This provides a rigorous justification of rod theory from fully nonlinear three-dimensional elasticity. The book will be of interest to researchers working in classical mechanics, dynamical systems, elliptic variational problems, and continuum mechanics. It begins with the elements of Hamiltonian theory and center manifold reduction in order to make the methods accessible to non-specialists, from graduate student level.
Популярные книги за неделю:

Ключ к сверхсознанию

Автор:
Категория: Путь к себе
Размер книги: 309 Kb

Древо жизни

Автор:
Категория: Путь к себе
Размер книги: 1.70 Mb

Здоровье надо созидать

Автор:
Категория: Здоровье
Размер книги: 363 Kb

Шликерное литье

Автор:
Категория: science, science, technical
Размер книги: 5.98 Mb
Только что пользователи скачали эти книги:

Facebook: The Missing Manual

Автор:
Размер книги: 7.85 Mb

Pampered to Death (Jaine Austen Mysteries)

Автор:
Размер книги: 789 Kb

Possible Worlds

Автор:
Категория: fiction
Размер книги: 1.16 Mb

Small Steps

Автор:
Категория: fiction
Размер книги: 185 Kb

Why Voice Matters: Culture and Politics After Neoliberalism

Автор:
Категория: Political Science
Размер книги: 10.29 Mb