Nonintegrability of a system of interacting particles with the Dyson potential (Q1594384)
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scientific article; zbMATH DE number 1557688
| Language | Label | Description | Also known as |
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| English | Nonintegrability of a system of interacting particles with the Dyson potential |
scientific article; zbMATH DE number 1557688 |
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Nonintegrability of a system of interacting particles with the Dyson potential (English)
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28 January 2001
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This paper deals with the integrability of the dynamic system of \(n\) interacting particles with the Dyson potential \(V(z)= \ln|\sin z|\). The authors analyze the problem by using previous results by V. V. Kozlov. In the complex variables setting, they find that the system has only one single-valued polynomial first integral.
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nonintegrability
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dynamic system of \(n\) interacting particles
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Dyson potential
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single-valued polynomial first integral
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