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Versal Deformations and Normal Forms for Reversible and Hamiltonian Linear Systems

✍ Scribed by I. Hoveijn

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
960 KB
Volume
126
Category
Article
ISSN
0022-0396

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✦ Synopsis

The problem of this article is the characterization of equivalence classes and their versal deformations for reversible and reversible Hamiltonian matrices. In both cases the admissible transformations form a subgroup G of Gl(m). Therefore the Gl(m)-orbits of a given matrix may split into several G-orbits. These orbits are characterized by signs. For each sign we have a normal form and a corresponding versal deformation. The main tool in the characterization is reduction to the semi simple case.

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