Discrete Lagrangian Systems on Graphs. Symplecto-Topological Properties

Details Discrete Lagrangian Systems on Graphs. Symplecto-Topological Properties Discrete Lagrangian Systems on Graphs. Symplecto-Topological Properties

2000-04-11

arxiv.org/abs/math-ph/0004011v1

Russian Math Surveys, 54 (1999), no. 1, 257-258

Physics

Mathematical Physics

Latex, 4 pages

Scientific paper

Discrete Lagrangian Systems on graphs are considered. Vector-valued closed differential 2-form on the space of solutions is constructed. This form takes values in the first homology group of the graph. This construction generalizes the Symplectic Wronskian for the linear self-adjoint operators on graphs found in 1997 by the first author and used for the needs of the Scattering Theory for graphs with tails

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