Currents on Lie groups with nonholonomic connection and integrable non- Hamiltonian systems (Q1089973)
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scientific article; zbMATH DE number 4007295
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Currents on Lie groups with nonholonomic connection and integrable non- Hamiltonian systems |
scientific article; zbMATH DE number 4007295 |
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Currents on Lie groups with nonholonomic connection and integrable non- Hamiltonian systems (English)
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1986
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It is known that Euler's equation for the motion of rigid body has the form \(\dot M=[\Omega,M]+N\). In this paper a nonholonomic analog of Euler's equation on Lie algebras is investigated. The authors show that the systems in question possess an invariant measure and several new examples of integrable nonholonomic systems are found.
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coadjoint representation
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Lie algebras
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invariant measure
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integrable nonholonomic systems
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