Computer normalization of Hamiltonian systems in analytic form (Q1324016)
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scientific article; zbMATH DE number 584218
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Computer normalization of Hamiltonian systems in analytic form |
scientific article; zbMATH DE number 584218 |
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Computer normalization of Hamiltonian systems in analytic form (English)
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24 July 1994
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Various algorithms for normalizing autonomous Hamiltonian systems are considered: for expanding a Hamiltonian in a Taylor series, and for linear and nonlinear normalization. It is assumed that all the eigenvalues of the matrix of the linearized system are purely imaginary and there are no resonances up to second order inclusive, that is, there are no equal or zero frequencies in the system. The most economical algorithms for use in analytic computation systems as regards computer memory are described and implemented in a software package written in the REDUCE language.
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autonomous Hamiltonian systems
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Taylor series
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nonlinear normalization
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eigenvalues
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linearized system
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REDUCE language
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