Generic Rank-2 Perturbation of Hamiltonian Systems with Periodic Coefficients
Abstract
In this paper, it is about a theory of double rank-one perturbation of a Hamiltonian system with periodic coefficients. Some reminders of the rank-one perturbation and an adaptation of a theorem given [C. Mehl, et al., Linear Algebra Appl. J., 435(2011), 687-716] to the cases of symplectic matrices have been made.