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Undefined Frequencies Method

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Abstract

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 priori 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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Authors and Affiliations

  1. Moscow State University, Moscow, Russia

    V. M. Budanov

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  1. V. M. Budanov
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Correspondence to V. M. Budanov.

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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 22, No. 2, pp. 59–71, 2018.

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Budanov, V.M. Undefined Frequencies Method. J Math Sci 253, 796–805 (2021). https://doi.org/10.1007/s10958-021-05270-0

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  • DOI: https://doi.org/10.1007/s10958-021-05270-0

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