2000/04/11 by S. P. Novikov, A. S. Schwarz · 1 citation
Physics and Astronomy · Mathematics · #math-ph #math.MP
published as Russian Math Surveys, 54 (1999), no. 1, 257-258 · Latex, 4 pages
arxiv created 2000/04/11 · arxiv updated 2009/11/30
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