VERSAL DEFORMATIONS AND NORMAL FORMS FOR REVERSIBLE AND HAMILTONIAN LINEAR-SYSTEMS

The problem of this article is the characterization of equivalence cla sses and their versal deformations for reversible and reversible Hamil tonian matrices. in both cases the admissible transformations form a s ubgroup G of Gl(m). Therefore the Gl(m)-orbits of a given matrix may s plit into several G-orbits. These orbits are characterized by signs. F or each sign we have a normal form and a corresponding versal deformat ion. The main tool in the characterization is reduction to the semi Si mple case. (C) 1996 Academic Press, Inc.