Hamiltonian and Lagrangian Flows on Center Manifolds / Lecture Notes in Mathematics Bd.1489 (PDF)
with Applications to Elliptic Variational Problems
(Sprache: Englisch)
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....
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....
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Produktinformationen zu „Hamiltonian and Lagrangian Flows on Center Manifolds / Lecture Notes in Mathematics Bd.1489 (PDF)“
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.
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.
Bibliographische Angaben
- Autor: Alexander Mielke
- 2006, 1991, 140 Seiten, Englisch
- Verlag: Springer Berlin Heidelberg
- ISBN-10: 3540464417
- ISBN-13: 9783540464419
- Erscheinungsdatum: 14.11.2006
Abhängig von Bildschirmgröße und eingestellter Schriftgröße kann die Seitenzahl auf Ihrem Lesegerät variieren.
eBook Informationen
- Dateiformat: PDF
- Größe: 7.65 MB
- Ohne Kopierschutz
- Vorlesefunktion
Sprache:
Englisch
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