Nambu dynamics, \(n\)-Lie algebras and integrability (Q981908)
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scientific article; zbMATH DE number 5734851
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nambu dynamics, \(n\)-Lie algebras and integrability |
scientific article; zbMATH DE number 5734851 |
Statements
Nambu dynamics, \(n\)-Lie algebras and integrability (English)
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9 July 2010
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The generalization of a bracket Poisson on a case several Hamiltonians is offered. The connection of this theory with Nambu's dynamics and analogy to brackets of \(n\)-Lie algebras is shown. As an example the system of spin particles is considered.
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multi-Hamiltonians systems
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Nambu's dynamics
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\(n\)-Lie algebras
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