Closed form integration of a hyperelliptic, odd powers, undamped oscillator

Author:

Mingari Scarpello Giovanni,Ritelli Daniele

Publisher

Springer Science and Business Media LLC

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference18 articles.

1. Agostinelli C, Pignedoli A (1978) Meccanica razionale, vol 1. Zanichelli, Bologna

2. Appell P (1880) Sur les series hypergeometriques de deux variables, et sur des equations differentielles lineaires aux derives partielles. CR Acad Sci Paris 90:296–298

3. Atkinson CP (1962) On the superposition method for determining frequencies of nonlinear systems. In: ASME proceedings of the 4th national congress of applied mechanics, pp 57–62

4. Burton TD, Hamdan MH (1983) Analysis of nonlinear autonomous conservative oscillators by a time transformation method. J Sound Vib 87(4):543–554

5. Citterio M, Talamo R (2006) On a Korteweg-de Vries-like equation with higher degree of non-linearity. Int J Non-Linear Mech 41(10):1235–1241

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