Asymptotic solution of the threshold phenomenon problem for the principal resonance equations (Q2387949)
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| Language | Label | Description | Also known as |
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| English | Asymptotic solution of the threshold phenomenon problem for the principal resonance equations |
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Asymptotic solution of the threshold phenomenon problem for the principal resonance equations (English)
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5 September 2005
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Numerical experiments based on various mathematical models have shown that, for autoresonance to appear, it is necessary that the pump amplitude exceeds some threshold value. In this paper, a result of this sort is derived analytically by an asymptotic analysis of the so-called principal resonance equations.
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