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Elastic curves on the sphere - MaRDI portal

Elastic curves on the sphere (Q1895899)

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scientific article; zbMATH DE number 784483
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English
Elastic curves on the sphere
scientific article; zbMATH DE number 784483

    Statements

    Elastic curves on the sphere (English)
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    13 August 1995
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    When elastic curves on the sphere are treated by standard Runge-Kutta methods, some invariants are no more invariants. The authors modify the equations and apply an appropriate integration method. A classification of the fundamental forms of the curves is presented which refers to Jacobi's elliptic functions.
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    elastic curves
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    Runge-Kutta methods
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    invariants
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    integration method
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    Jacobi's elliptic functions
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