Analytic non-integrable Hamiltonian systems and irregular singularity (Q931362)
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scientific article; zbMATH DE number 5292762
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Analytic non-integrable Hamiltonian systems and irregular singularity |
scientific article; zbMATH DE number 5292762 |
Statements
Analytic non-integrable Hamiltonian systems and irregular singularity (English)
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25 June 2008
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A general class of \(C^{\infty }\)-Liouville-integrable but analytic nonintegrable Hamiltonian systems containing Gorni-Zampieri's example [\textit{G. Gorni} and \textit{G. Zampieri}, Differ. Geom. Appl. 22, No. 3, 287--296 (2005; Zbl 1080.37061)] is presented with a simple elementary proof of the nonintegrability, which shows the role of an irregular singular behavior of a system.
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Liouville integrability
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analytic nonintegrable Hamiltonian systems
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irregular singularity
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0.9503411
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0.9352332
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0.9249338
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0.9213542
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0.92129964
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0.9156137
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