Weak resonances of periodical nonlinear oscillations

Olga  Lavcel-Budko; Aleksandras  Krylovas

doi:10.15388/LMR.B.2017.09

Articles

Olga Lavcel-Budko

Mykolo Romerio universitetas

Aleksandras Krylovas

Vilniaus Gedimino technikos universitetas

Published 2017-12-20

https://doi.org/10.15388/LMR.B.2017.09

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Keywords

resonance
asymptotic methods
nonlinear waves
averaging

How to Cite

Lavcel-Budko, O. and Krylovas, A. (2017) “Weak resonances of periodical nonlinear oscillations”, Lietuvos matematikos rinkinys, 58(B), pp. 51–56. doi:10.15388/LMR.B.2017.09.

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Abstract

The mathematical model of nonlinear oscillations of weightless string is analyzed. Coefficients of the mathematical model and initial conditions are periodical functions of the space variable. A multiscale perturbation technique and integrating along characteristics are used to construct asymptotic solution without secular members.

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