On Hamiltonian flows whose orbits are straight lines (Q379866)
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scientific article; zbMATH DE number 6224722
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On Hamiltonian flows whose orbits are straight lines |
scientific article; zbMATH DE number 6224722 |
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On Hamiltonian flows whose orbits are straight lines (English)
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11 November 2013
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The authors consider the so-called affine integrable Hamiltonians which are analytic -- described by homogeneous polynomials. They give necessary and sufficient conditions for such Hamiltonians to be shear Hamiltonians. For example, every affine integrable polynomial Hamiltonian that is homogeneous of degree 3 is shear but also some other types of conditions are also given. Commutators and quadratic functions are discussed within the same framework.
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Hamiltonian
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symplectic map
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symplectic matrix
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polynomial map
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Iwasawa decomposition
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jolt factorization
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