Weak resonances of periodical nonlinear oscillations | Zendy

Olga Lavcel-Budko | Zendy; Aleksandras Krylovas | Zendy

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Weak 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.

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