Discrete Lagrangian Systems on Graphs. Symplecto-Topological Properties
Mathematical Physics
2007-05-23 v1 math.MP
Abstract
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
Cite
@article{arxiv.math-ph/0004011,
title = {Discrete Lagrangian Systems on Graphs. Symplecto-Topological Properties},
author = {S. P. Novikov and A. S. Schwarz},
journal= {arXiv preprint arXiv:math-ph/0004011},
year = {2007}
}
Comments
Latex, 4 pages