On the non-integrability of some generalized Toda lattices (Q1117523)
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scientific article; zbMATH DE number 4092394
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the non-integrability of some generalized Toda lattices |
scientific article; zbMATH DE number 4092394 |
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On the non-integrability of some generalized Toda lattices (English)
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1987
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We consider a one-parameter family of two-degrees-of-freedom generalized Toda Hamiltonians. Using Ziglin's theorem with some extensions, we prove the non-existence of an additional single-valued analytic integral except for special values of the parameter.
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generalized Toda Hamiltonians
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Ziglin's theorem
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