Subharmonic and homoclinic bifurcations in the driven and damped sine-Gordon system (Q1808353)
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scientific article; zbMATH DE number 1374399
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Subharmonic and homoclinic bifurcations in the driven and damped sine-Gordon system |
scientific article; zbMATH DE number 1374399 |
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Subharmonic and homoclinic bifurcations in the driven and damped sine-Gordon system (English)
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6 December 1999
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The authors deal with a driven and damped sine-Gordon system and present several interesting predictions for space-time instabilities for this system. Since for the system under consideration the classical method is not applicable, the authors use a modified version of the Melnikov method to homoclinic bifurcations of the perturbed sine-Gordon system. They provide the dynamical behaviour of the sine-Gordon system by numerical computations.
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sine-Gordon equations
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Melnikov method
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homoclinic bifurcation
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