Unboundedness in a Duffing equation with polynomial potentials (Q1968706)
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scientific article; zbMATH DE number 1419590
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Unboundedness in a Duffing equation with polynomial potentials |
scientific article; zbMATH DE number 1419590 |
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Unboundedness in a Duffing equation with polynomial potentials (English)
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25 October 2000
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In this paper, it is proved that there exists a periodic function \(p(t)\) such that the Duffing equation \(d^2x/dt^2+x^{2n+1}+p(t)x^{2n}=0\), with \(n\geq 2\), possesses a solution which escapes to infinity in finite time.
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Duffing equation
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unbounded solution
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0.89555514
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0.8942889
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0.8931608
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0.8930857
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0.8922412
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0.8921652
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0.88679004
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0.8867667
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