Hamiltonian and Lagrangian Flows on Center Manifolds: with Applications to Elliptic Variational Problems [1 ed.] 9783540547105, 354054710X, 038754710X
The theory of center manifold reduction is studied in this monograph in the context of (infinite-dimensional) Hamil- ton
222 20 969KB
English Pages 140 Year 1991
Table of contents :
Introduction....Pages 1-6
Notations and basic facts on center manifolds....Pages 9-16
The linear theory....Pages 17-26
Hamiltonian flows on center manifolds....Pages 27-40
Hamiltonian systems with symmetries....Pages 41-59
Lagrangian systems....Pages 61-83
Nonautonomous systems....Pages 85-92
Elliptic variational problems on cylindrical domains....Pages 95-102
Capillarity surface waves....Pages 103-108
Necking of strips....Pages 109-119
Saint-Venant's problem....Pages 121-131
Introduction....Pages 1-6
Notations and basic facts on center manifolds....Pages 9-16
The linear theory....Pages 17-26
Hamiltonian flows on center manifolds....Pages 27-40
Hamiltonian systems with symmetries....Pages 41-59
Lagrangian systems....Pages 61-83
Nonautonomous systems....Pages 85-92
Elliptic variational problems on cylindrical domains....Pages 95-102
Capillarity surface waves....Pages 103-108
Necking of strips....Pages 109-119
Saint-Venant's problem....Pages 121-131
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