On the non-existence of a supplementary integral in the problem of a heavy two-link plane pendulum (Q581002)
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scientific article; zbMATH DE number 4018428
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the non-existence of a supplementary integral in the problem of a heavy two-link plane pendulum |
scientific article; zbMATH DE number 4018428 |
Statements
On the non-existence of a supplementary integral in the problem of a heavy two-link plane pendulum (English)
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1986
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The non-existence of an analytic supplementary first integral in the phase variable that is independent of the energy integral is proved by the method of splitting the separatrices. The existence of certain classes of periodic solutions is proved by using Poincaré's theorem.
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heavy two-link plane pendulum
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analytic supplementary first integral
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phase variable
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energy integral
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method of splitting the separatrices
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periodic solutions
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Poincaré's theorem
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