Dimension estimate of the global attractor for resonant motion of a spherical pendulum (Q2366810)

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Dimension estimate of the global attractor for resonant motion of a spherical pendulum
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    Dimension estimate of the global attractor for resonant motion of a spherical pendulum (English)
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    20 April 1994
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    The motion of a lightly damped spherical pendulum (SP) is considered. This pendulum is forced to oscillate horizontally in the neighborhood of resonance. One estimates analytically an upper bound for the Hausdorff dimension of maximal compact invariant sets of SP.
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    Kaplan-Yorke formula
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    Lyapunov exponents
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    spherical pendulum
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    Hausdorff dimension
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    invariant sets
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