Index iteration theory for symplectic paths with applications to nonlinear Hamiltonian systems
Differential Geometry
2007-05-23 v1 Symplectic Geometry
Abstract
In recent years, we have established the iteration theory of the index for symplectic matrix paths and applied it to periodic solution problems of nonlinear Hamiltonian systems. This paper is a survey on these results.
Keywords
Cite
@article{arxiv.math/0304265,
title = {Index iteration theory for symplectic paths with applications to nonlinear Hamiltonian systems},
author = {Yiming Long},
journal= {arXiv preprint arXiv:math/0304265},
year = {2007}
}