Singular Hamiltonian systems and symplectic capacities
نویسندگان
چکیده
منابع مشابه
Symplectic Topology and Capacities
I am going to talk about symplectic topology, a field that has seen a remarkable development in the past 15 years. Let’s begin with what was classically known – which was rather little. We start with a symplectic form ω, that is, a closed 2-form which is nondegenerate. This last condition means that ω is defined on an even dimensional manifold M and that its wedge with itself n times is a top d...
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In this paper, a symplectic model reduction technique, proper symplectic decomposition (PSD) with symplectic Galerkin projection, is proposed to save the computational cost for the simplification of large-scale Hamiltonian systems while preserving the symplectic structure. As an analogy to the classical proper orthogonal decomposition (POD)-Galerkin approach, PSD is designed to build a symplect...
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ژورنال
عنوان ژورنال: Banach Center Publications
سال: 1996
ISSN: 0137-6934,1730-6299
DOI: 10.4064/-33-1-171-187