Asymptotic analysis of strongly nonlinear oscillators (Q1071160)
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scientific article; zbMATH DE number 3937602
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotic analysis of strongly nonlinear oscillators |
scientific article; zbMATH DE number 3937602 |
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Asymptotic analysis of strongly nonlinear oscillators (English)
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1985
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In the paper the asymptotic method is applied for the analysis of a strongly nonlinear autonomous oscillator characterised by the differential equation \(\ddot u+g(u)=\epsilon f(u,\dot u)\) with a small parameter \(\epsilon >0\). The equations for the amplitude and phase factor are obtained and the amplitude and stability of the corresponding limit cycles are determined.
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second order differential equation
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strongly nonlinear autonomous oscillator
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phase factor
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limit cycles
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