Index iteration theory for symplectic paths with applications to nonlinear Hamiltonian systems

Details Index iteration theory for symplectic paths with applications to nonlinear Hamiltonian systems Index iteration theory for symplectic paths with applications to nonlinear Hamiltonian systems

2003-04-18

arxiv.org/abs/math/0304265v1

Proceedings of the ICM, Beijing 2002, vol. 2, 303--314

Mathematics

Differential Geometry

Scientific paper

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.

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