Corpus ID: 119620599

Discrete Lagrangian Systems on Graphs. Symplecto-Topological Properties

@inproceedings{SPNovikov2000DiscreteLS,
  title={Discrete Lagrangian Systems on Graphs. Symplecto-Topological Properties},
  author={S.P.Novikov and A.S.Schwarz},
  year={2000}
}
  • S.P.Novikov, A.S.Schwarz
  • Published 2000
  • Physics, Mathematics
  • 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