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Normal forms and unfoldings of linear systems in eigenspaces of (anti)-automorphisms of order two

Hoveijn, I, Lamb, JSW and Roberts, RM (2003) Normal forms and unfoldings of linear systems in eigenspaces of (anti)-automorphisms of order two JOURNAL OF DIFFERENTIAL EQUATIONS, 190 (1). 182 - 213. ISSN 0022-0396


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In 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.

Item Type: Article
Uncontrolled Keywords: Science & Technology, Physical Sciences, Mathematics, HAMILTONIAN VECTOR-FIELDS, VERSAL DEFORMATIONS
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Divisions: Faculty of Engineering and Physical Sciences > Mathematics
Depositing User: Mr Adam Field
Date Deposited: 27 May 2010 14:40
Last Modified: 23 Sep 2013 18:32

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