Sufficient conditions are established for an equation of the type \(x^{\prime \prime}+\alpha x+\beta x^{3}=p(t)\) to have periodic solutions, where \(p(t)\) is periodic. The results are applied to analyze forced vibrations of a mass supported by a non-linear spring. To verify sufficiency of the cond
โฆ LIBER โฆ
Combination tones for Duffing's equation
โ Scribed by Jurgen Moser
- Publisher
- John Wiley and Sons
- Year
- 1965
- Tongue
- English
- Weight
- 519 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0010-3640
No coin nor oath required. For personal study only.
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In this study, an undamped Du$ng's oscillator equation with time-dependent parameters has been considered. The time-varying part is expanded in a series of ultraspherical polynomials in the spirit of Sinha and Chou and only the constant part is retained. The non-linearity parameter is assumed to be
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