Journal of Mathematical Sciences: Advances and ApplicationsAuthor's: Mouhamadou Dosso and Namory Coulibaly
Pages: [15] - [38]
Received Date: March 20, 2014
Submitted by:
A theory of the analysis of strong stability of Hamiltonian systems with periodic coefficients is presented. It is based on the strong stability of fundamental solution evaluated at its period. However, the matrix solution being symplectic, this analysis leads to the search of strong stability of a symplectic matrix. A method for the determination of the monodromy matrix is given and an application of this study on two Hamiltonian systems with periodic coefficients from the book of Yakubovich and Starzhinskii, is presented.
symplectic matrix, Hamiltonian system, strong stability, spectral portrait, spectral projector.
