Name: hamiltonian and lagrangian flows on center manifolds (en Inglés)
SKU: 3485501
Price: 772.06 MXN
Availability: InStock
Author: mielke
ISBN: 9783540547105

portada hamiltonian and lagrangian flows on center manifolds (en Inglés)

hamiltonian and lagrangian flows on center manifolds (en Inglés)

Formato

Libro Físico

Editorial

Springer

Autor

mielke

Idioma

Inglés

N° páginas

140

ISBN

354054710X

ISBN13

9783540547105

Categorías

Cálculo y análisis matemático

hamiltonian and lagrangian flows on center manifolds (en Inglés)

Mielke (Autor) · Springer · Libro Físico

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Reseña del libro "hamiltonian and lagrangian flows on center manifolds (en Inglés)"

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.