The structure of the singular symplectic matrix set (Q1180028)
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scientific article; zbMATH DE number 26937
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The structure of the singular symplectic matrix set |
scientific article; zbMATH DE number 26937 |
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The structure of the singular symplectic matrix set (English)
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27 June 1992
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A symplectic matrix with unit eigenvalue is said to be singular. In this paper, the author studies the structure of the set of singular matrices. In particular, the variation of the function \(\dim\ker(MR(\theta)-I)\), where \(R(\theta)\) gives a rotational perturbation, is examined in detail. The results provide a rigorous back-up for earlier work on the existence of periodic solutions of asymptotically linear Hamiltonian systems.
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eigenvalue
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symplectic matrix
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singular matrices
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periodic solutions
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asymptotically linear Hamiltonian systems
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