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Zbl 1243.34051
Mickens, R.E.
Iteration method solutions for conservative and limit-cycle $x^{1/3}$ force oscillators. (English)
[J] J. Sound Vib. 292, No. 3-5, 964-968 (2006). ISSN 0022-460X

Summary: An iterative technique is used to calculate a higher-order approximation to the periodic solutions of a conservative oscillator for which the elastic force term is proportional to $x^{1/3}$. The related van der Pol-type limit-cycle oscillator is also studied.

MSC 2000:: *34C15 Nonlinear oscillations of solutions of ODE
34C05 Qualitative theory of some special solutions of ODE
34E10 Asymptotic perturbations (ODE)
34A45 Theoretical approximation of solutions of ODE
70K05 Phase plane analysis (general mechanics)

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Zentralblatt MATH Berlin [Germany]