On the existence of homoclinic orbits for the asymptotically periodic Duffing equation (Q1305299)
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scientific article; zbMATH DE number 1346177
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the existence of homoclinic orbits for the asymptotically periodic Duffing equation |
scientific article; zbMATH DE number 1346177 |
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On the existence of homoclinic orbits for the asymptotically periodic Duffing equation (English)
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9 March 2000
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Homoclinic orbits to the origin (being a hyperbolic rest point) are investigated for the Duffing equation \[ - u''+ u= a(t)|u|^{p- 1}u, \] with \(p>1\) and the positive definite \(a\) is asymptotically periodic. More precisely, nontrivial solutions to the above equation, tending jointly with their first derivatives to zero as \(t\to\infty\), are investigated.
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asymptotically periodic coefficient
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homoclinic orbits
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Duffing equation
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