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Homotopy perturbation for conservative Helmholtz–Duffing oscillators

✍ Scribed by A.Y.T. Leung; Zhongjin Guo

Book ID
104033739
Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
319 KB
Volume
325
Category
Article
ISSN
0022-460X

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Hybrid-Galerkin perturbation method for
Hybrid-Galerkin perturbation method for forced oscillations of the Duffing equation
✍ Robert J. Telban; James F. Geer; James M. Pitarresi 📂 Article 📅 1990 🏛 Elsevier Science 🌐 English ⚖ 298 KB

Perturbation approximations with the "small" coefficient e are developed for the Duffing equation ij + 2&plJ + w:lJ + calJ3 = &F sin Ot, e>O, by the method of multiple time scales. Solutions are generated for the problem of nonresonant excitation (n not near w,) and for the problem of resonant excit