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On the Period-Amplitude Relation by Reduction to Liénard Quadratic Equation

Authors :
Svetlana Atslega
Felix Sadyrbaev
Source :
WSEAS TRANSACTIONS ON MATHEMATICS. 22:285-291
Publication Year :
2023
Publisher :
World Scientific and Engineering Academy and Society (WSEAS), 2023.

Abstract

We apply Sabatini’s transformation for the study of a class of nonlinear oscillators, dependent on quadratic terms. As a result, an initial equation is reduced to Newtonian form, for which in a standard way the period-amplitude relation can be established.

Subjects

Subjects :
General Mathematics

Details

ISSN :
22242880 and 11092769
Volume :
22
Database :
OpenAIRE
Journal :
WSEAS TRANSACTIONS ON MATHEMATICS
Accession number :
edsair.doi...........e42d7868245c72310eb40cf89d27c19e
Full Text :
https://doi.org/10.37394/23206.2023.22.34