Discrete Lagrangian Systems on Graphs. Symplecto-topological Properties Symplecto–topological Properties
نویسنده
چکیده
This work extends the results of [1, 2, 3] where the Symplectic Wron-skian was constructed for the linear systems on Graphs and applied in the Scattering Theory for the Graphs with tails. Let us consider any one-dimensional locally finite simplicial complex (Graph) Γ without ends (i.e. every vertex P belongs to at least two but to the finite number of edges R i only). All set of vertices is numerated by the index j, P → j(P). The following set of data should be given: 1.Family S of finite subsets α ∈ S in the set of all vertices.
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