The analysis of the square array of Van der Pol oscillators using the averaged potential (Q1070847)
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scientific article; zbMATH DE number 3938626
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The analysis of the square array of Van der Pol oscillators using the averaged potential |
scientific article; zbMATH DE number 3938626 |
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The analysis of the square array of Van der Pol oscillators using the averaged potential (English)
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1985
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Loosely speaking, let \(\dot x=U_ x(x,t)\) be a gradient system; then by taking the averaged value \(\bar U(\)x) of the potential U(x,t) with respect to time, one rather considers the new system \(\dot r=\bar U_ r(r)\) which is then studied. The technique is applied to oscillators with resistors of cubic nonlinearities and to the analysis of a square array of Van der Pol oscillators in order to find stable multi-mode oscillations.
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averaging method
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averaged potential
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self-excited oscillation
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oscillators with resistors of cubic nonlinearities
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square array of Van der Pol oscillators
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stable multi-mode oscillations
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0.7313998341560364
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0.7275075316429138
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0.7262741327285767
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