Regular and irregular motions in Duffing oscillator (Q2782085)
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scientific article; zbMATH DE number 1727563
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Regular and irregular motions in Duffing oscillator |
scientific article; zbMATH DE number 1727563 |
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14 April 2002
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Duffing equation
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regularity
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symmetry of quasistatic solutions
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periodic perturbation
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Regular and irregular motions in Duffing oscillator (English)
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The author studies the Duffing equation \(\frac{dx^2}{d\xi^2} + h \frac{dx}{d\xi} - x(\kappa - \gamma x^2) = f(\Omega\xi)\) under periodic external excitation with frequency \(\Omega\). A relationship is established between the symmetry of quasistatic solutions and regularity of motions occurring due to the periodic perturbation. The author also presents some results of numerical computations.
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0.814899206161499
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0.7569493651390076
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