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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/67139In 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.Differential GeometrySymplectic Geometry58E05, 70H05, 34C25Index iteration theory for symplectic paths with applications to nonlinear Hamiltonian systemstext