Hamiltonian and Lagrangian Flows on Center Manifolds
Hamiltonian and Lagrangian Flows on Center Manifolds

Author: Alexander Mielke

Publisher: Springer

Published: 2006-11-14

Total Pages: 145

ISBN-13: 3540464417

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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.

Sweet Dreams on Center Street
Sweet Dreams on Center Street

Author: Sheila Roberts

Publisher: MIRA

Published: 2018-02-26

Total Pages: 241

ISBN-13: 1488011125

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Revisit the first novel in bestselling author Sheila Roberts’ adored Life in Icicle Falls series Sweet Dreams Chocolate Company has been in the Sterling family for generations, ever since Great-Grandma Rose literally dreamed up her first fabulous recipe. But now it looks as if they’re about to lose Sweet Dreams to the bank—and that would be a disaster, not only for the family but for the town of Icicle Falls, Washington. Can Samantha, the oldest daughter and new head of the company, come up with a way to save it? After Samantha does some brainstorming with her mother and sisters, inspiration strikes. They’ll have a chocolate festival! Time’s running out, but the Sterling women are determined and the town’s behind them, so everything’s bound to go smoothly…. Or not. Events seem to be conspiring against Samantha, and her mother’s attempts to help aren’t helping. To make matters worse, the fate of her company is in the hands of her archenemy, Blake Preston, the bank manager with the football-hero good looks. It’s enough to drive her to chocolate. But Blake’s also enough to convince her that (believe it or not) there’s something even better than chocolate. Previously published as Better Than Chocolate.