Topology, bifurcations and Liouville classification of Kirchhoff equations with an additional integral of fourth degree (Q2716882)
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scientific article; zbMATH DE number 1599581
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Topology, bifurcations and Liouville classification of Kirchhoff equations with an additional integral of fourth degree |
scientific article; zbMATH DE number 1599581 |
Statements
Topology, bifurcations and Liouville classification of Kirchhoff equations with an additional integral of fourth degree (English)
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5 August 2002
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Kirchhoff equations
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Liouville classification
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topological methods
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energy surfaces
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bifurcation set
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motion of rigid body in fluid
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integrable Hamiltonian systems
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Liouville tori
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Fomenko-Zieschang invariant
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By means of topological methods and energy surfaces, the authors study the bifurcation set for integrable problem of motion of a rigid body in fluid. In this way, the authors construct integrable Hamiltonian systems for which Lax representation and separation of variables are not known. All bifurcations of Liouville tori and of Fomenko-Zieschang invariant are obtained, and a bifurcation of two tori into four tori is put into evidence.
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