Open AccessWeak resonances of periodical nonlinear oscillations
Author(s) -
Olga Lavcel-Budko,
Aleksandras Krylovas
Publication year - 2017
Publication title -
lietuvos matematikos rinkinys
Language(s) - English
Resource type - Journals
eISSN - 2335-898X
pISSN - 0132-2818
DOI - 10.15388/lmr.b.2017.09
Subject(s) - nonlinear system , perturbation (astronomy) , nonlinear oscillations , mathematical analysis , physics , mathematics , space (punctuation) , mathematical model , perturbation theory (quantum mechanics) , string (physics) , classical mechanics , statistical physics , theoretical physics , computer science , quantum mechanics , operating system
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.