Undefined frequencies method
Fundamentalʹnaâ i prikladnaâ matematika, Tome 22 (2018) no. 2, pp. 59-71.

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A method of analytical construction of solutions of nonlinear dynamic systems is introduced for the case where solutions have oscillatory type. The method does not require any a priory assumptions on the frequencies of oscillations that are defined on course of successive approximations. The method can be applied without assuming the existence of some small parameter, and this is illustrated by the analysis of particular dynamic systems.
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V. M. Budanov. Undefined frequencies method. Fundamentalʹnaâ i prikladnaâ matematika, Tome 22 (2018) no. 2, pp. 59-71. http://geodesic.mathdoc.fr/item/FPM_2018_22_2_a3/

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