Lyapunov exponents for the Miles' spherical pendulum equations (Q1808250)
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scientific article; zbMATH DE number 1374320
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Lyapunov exponents for the Miles' spherical pendulum equations |
scientific article; zbMATH DE number 1374320 |
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Lyapunov exponents for the Miles' spherical pendulum equations (English)
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6 December 1999
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The authors evaluate Lyapunov exponents and hence the Lyapunov dimension for the equations derived by \textit{J. W. Miles} [Q. Appl. Math. 20, 21-32 (1962; Zbl 0108.18601); Physica D 11, 309-323 (1984; Zbl 0577.70025)] as an approximation to the equations of motion of spherical pendulum forced at a frequency close to its natural frequency. Some results are also presented for the mathematically related problem of surface waves in a vibrating cylinder.
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forced spherical pendulum
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surface water waves in vibrating cylinder
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Lyapunov exponents
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Lyapunov dimension
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0.89688456
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0.8938298
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0.89009994
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0.88774204
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0.88774204
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0.8871772
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