We prove that for a Hamiltonian system on a cotangent bundle that is
Liouville-integrable and has monodromy the vector of Maslov indices is an
eigenvector of the monodromy matrix with eigenvalue 1. As a corollary the
resulting restrictions on the monodromy matrix are derived.
Publié le : 2005-04-20
Classification:
Mathematical Physics,
Nonlinear Sciences - Exactly Solvable and Integrable Systems,
37J35,
81S10,
53D12
@article{0504063,
author = {Dullin, HR and Robbins, JM and Waalkens, H and Creagh, SC and Tanner, G},
title = {Maslov Indices and Monodromy},
journal = {arXiv},
volume = {2005},
number = {0},
year = {2005},
language = {en},
url = {http://dml.mathdoc.fr/item/0504063}
}
Dullin, HR; Robbins, JM; Waalkens, H; Creagh, SC; Tanner, G. Maslov Indices and Monodromy. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0504063/