Normal Forms and Unfoldings of Linear Systems in Eigenspaces of (Anti)-Automorphisms of Order Two

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dc.creatorHoveijn, I.
dc.creatorLamb, J. S. W.
dc.creatorRoberts, R. M.
dc.date2002-10-19
dc.date.accessioned2026-07-07T04:52:09Z
dc.date.available2026-07-07T04:52:09Z
dc.descriptionIn this article we classify normal forms and unfoldings of linear maps in eigenspaces of (anti)-automorphisms of order two. Our main motivation is provided by applications to linear systems of ordinary differential equations, general and Hamiltonian, which have both time-preserving and time-reversing symmetries. However the theory gives a uniform method to obtain normal forms and unfoldings for a wide variety of linear differential equations with additional structure. We give several examples and include a discussion of the phenomenon of orbit splitting. As a consequence of orbit splitting we observe passing and splitting of eigenvalues in unfoldings.
dc.description24 pages in LaTeX, no figures. Accepted for publication in JDE
dc.identifierhttps://arxiv.org/abs/math/0210305
dc.identifierhttp://arxiv.org/abs/math/0210305
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65361
dc.subjectDynamical Systems
dc.titleNormal Forms and Unfoldings of Linear Systems in Eigenspaces of (Anti)-Automorphisms of Order Two
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