Quadratic integrals of linear Hamiltonian systems (Q794185)
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scientific article; zbMATH DE number 3859539
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Quadratic integrals of linear Hamiltonian systems |
scientific article; zbMATH DE number 3859539 |
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Quadratic integrals of linear Hamiltonian systems (English)
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1984
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The momentum mapping of an autonomous, real linear Hamiltonian system is determined by its set of quadratic integrals. Such a system can be identified with an element of the real symplectic algebra and its quadratic integrals correspond to the centralizer of this element inside the symplectic algebra. In this paper, using a new set of normal forms for the elements of the real symplectic algebra, we compute their centralizers explicitly.
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momentum mapping
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real linear Hamiltonian system
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quadratic integrals
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real symplectic algebra
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centralizers
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