Asymptotic solutions and comparisons of a generalized van der Pol oscillator with slowly varying parameter (Q1011912)
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scientific article; zbMATH DE number 5543069
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotic solutions and comparisons of a generalized van der Pol oscillator with slowly varying parameter |
scientific article; zbMATH DE number 5543069 |
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Asymptotic solutions and comparisons of a generalized van der Pol oscillator with slowly varying parameter (English)
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14 April 2009
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Summary: A generalized Van der Pol oscillator with slowly varying parameter is studied. The leading order approximate solutions are obtained respectively by three methods and comparisons are made with numerical results. Different amplitudes are also made to compare the accuracy of the three methods.
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Van der Pol equation
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slowly varying parameter
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approximate potential method
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equivalent nonlinearization method
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multiple scales method
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numerical verification
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0.89501464
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0.8919152
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0.8852251
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0.88288796
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0.8821842
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0.88105005
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0.8795301
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0.87950397
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