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Nonintegrability of perturbed Lagrange problem - MaRDI portal

Nonintegrability of perturbed Lagrange problem (Q1062480)

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scientific article; zbMATH DE number 3913738
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Nonintegrability of perturbed Lagrange problem
scientific article; zbMATH DE number 3913738

    Statements

    Nonintegrability of perturbed Lagrange problem (English)
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    1984
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    It is shown that the perturbed Lagrange top, when the center of mass is shifted slightly from the axis of dynamic symmetry, is nonintegrable.
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    proof of nonintegrability
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    Euler angles
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    heavy symmetric top
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    Poincaré theorem
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    periodic solutions
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    moments of inertia
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    action/angle variables
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    perturbed Lagrange top
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    axis of dynamic symmetry
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