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Hamiltonian and Lagrangian Flows on Center Manifolds: With Applications to
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Hamiltonian and Lagrangian Flows on Center Manifolds: With Applications to Elliptic Variational Problems Paperback - 1991 - 1991st Edition

by Alexander Mielke


From the publisher

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.

Details

  • Title Hamiltonian and Lagrangian Flows on Center Manifolds: With Applications to Elliptic Variational Problems
  • Author Alexander Mielke
  • Binding Paperback
  • Edition number 1991st
  • Edition 1991
  • Pages 140
  • Volumes 1
  • Language ENG
  • Publisher Springer
  • Date 1991-10-23
  • Illustrated Yes
  • Features Bibliography, Illustrated, Index
  • ISBN 9783540547105 / 354054710X
  • Weight 0.5 lbs (0.23 kg)
  • Dimensions 9.21 x 6.14 x 0.33 in (23.39 x 15.60 x 0.84 cm)
  • Library of Congress Catalog Number 91035127
  • Dewey Decimal Code 514.74
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Hamiltonian and Lagrangian Flows on Center Manifolds: with Applications to Elliptic Variational Problems

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Paperback / softback. New. The theory of center manifold reduction is studied in thismonograph in the context of (infinite-dimensional) Hamil-tonian and Lagrangian systems. It begins with theelements of Hamiltonian theory and center manifold reductionin order to make the methods accessible to non-specialists,from graduate student level.
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Hamiltonian and Lagrangian Flows on Center Manifolds: with Applications to Elliptic Variational...
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Hamiltonian and Lagrangian Flows on Center Manifolds: with Applications to Elliptic Variational Problems (Lecture Notes in Mathematics)

by Alexander Mielke

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Hamiltonian and Lagrangian Flows on Center Manifolds: with Applications to Elliptic Variational Problems (Lecture Notes in Mathematics, 1489)

by Mielke, Alexander

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Hamiltonian and Lagrangian Flows on Center Manifolds: with Applications to Elliptic Variational...
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Hamiltonian and Lagrangian Flows on Center Manifolds: with Applications to Elliptic Variational Problems (Lecture Notes in Mathematics)

by Mielke, Alexander

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