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Matrices depending on parameter, with focus on some resonant Hamiltonian cases

Hoo, J. (2001) Matrices depending on parameter, with focus on some resonant Hamiltonian cases. Master's Thesis / Essay, Mathematics.

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Abstract

This paper presents an algorithm for constructing a universal unfolding of matrices that respect to a certain structure, like given by a symplectic form or by a reversing involution. Our methods are inspired by Gantmacher and Arnold. Applications concern linear Hamiltonian or linear reversible systems in 1:1 and 1 : —1 resonance. The latter resonance is studied both in the semi-simple and generic case.

Item Type: Thesis (Master's Thesis / Essay)
Degree programme: Mathematics
Thesis type: Master's Thesis / Essay
Language: English
Date Deposited: 15 Feb 2018 07:29
Last Modified: 15 Feb 2018 07:29
URI: https://fse.studenttheses.ub.rug.nl/id/eprint/8672

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