Bi-Hamiltonian structure and invariant endomorphism for rigid body dynamics (Q1088424)
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scientific article; zbMATH DE number 3990931
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Bi-Hamiltonian structure and invariant endomorphism for rigid body dynamics |
scientific article; zbMATH DE number 3990931 |
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Bi-Hamiltonian structure and invariant endomorphism for rigid body dynamics (English)
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1986
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The authors construct a Nijenhuis operator invariant under free rigid body dynamics. This is done on the cotangent bundle of the rotation group, thereby endowing the free rigid body equations of motions in the material picture with a bi-Hamiltonian structure.
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completely integrable Hamiltonian
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nonlinear evolution equation
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Lagrange-Poisson gyroscope
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degenerate eigenvalues
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Nijenhuis operator
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free rigid body dynamics
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cotangent bundle
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rotation group
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free rigid body equations
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material picture
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bi-Hamiltonian structure
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0.8818799
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0.87837595
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0.8773148
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0.8766871
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0.8740563
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