1 research outputs found
On a perturbation theory of Hamiltonian systems with periodic coefficients
A theory of rank perturbation of symplectic matrices and Hamiltonian
systems with periodic coefficients using a base of isotropic subspaces, is
presented. After showing that the fundamental matrix of the rank perturbation of
Hamiltonian system with periodic coefficients and the rank perturbation of
the fundamental matrix of the
unperturbed system are the same, the Jordan canonical form of is given. Two numerical examples
illustrating this theory and the consequences of rank perturbations on the
strong stability of Hamiltonian systems were also given