Titlebook: Geometry, Mechanics, and Dynamics; Volume in Honor of t Paul Newton,Philip Holmes,Alan Weinstein Book 2002 Springer Science+Business Media

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Nearly Inviscid Faraday Wavessystem, as in others, the addition of small viscosity provides a singular perturbation of the ideal fluid problem, and that as a result itse ectsarenontrivial.Therelevanceofexistingstudiesofidealfluid problems is discussed from this point of view.

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Elections and Democracy after Communism?serve local energy and momenta exactly, subject to solvability of the local time steps. Numerical tests reveal that, even when local energy balance is not enforced exactly, the global and local energy behavior of the AVIs is quite remarkable, a property which can probably be traced to the symplectic nature of the algorithm.

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The Campaign in the Constituencies,t work or is not e cient enough, in the sense that it does not use all the information encoded in the symmetry of the system. In this work, a new momentum map will be defined that is capable of overcoming most of the problems encountered in the traditional approach.

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Asynchronous Variational Integratorsserve local energy and momenta exactly, subject to solvability of the local time steps. Numerical tests reveal that, even when local energy balance is not enforced exactly, the global and local energy behavior of the AVIs is quite remarkable, a property which can probably be traced to the symplectic nature of the algorithm.