Hamilton equations for elasticae in the Euclidean 3-space (Q1577695)
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scientific article; zbMATH DE number 1496074
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hamilton equations for elasticae in the Euclidean 3-space |
scientific article; zbMATH DE number 1496074 |
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Hamilton equations for elasticae in the Euclidean 3-space (English)
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4 January 2001
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The variational problem of the spatial curves defined by the squared curvature is analyzed by using Hamiltonian formalism. The symmetry of the problem under the rigid body motions is used to reduce the Euler-Lagrange equations to a first-order dynamical system. This allows a qualitative treatment of the problem by using standard dynamical system tools.
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Hamilton equations
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elasticae
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generalized symmetries
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variational problem
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spatial curves
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squared curvature
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rigid body motions
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Euler-Lagrange equations
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first-order dynamical system
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