Svetlana Atslega, Felix Sadyrbaev, "On the Period-Amplitude Relation by Reduction to Liénard Quadratic Equation," WSEAS Transactions on Mathematics, vol. 22, pp. 285-291, 2023, DOI:10.37394/23206.2023.22.34
Svetlana Atslega, Felix Sadyrbaev. On the Period-Amplitude Relation by Reduction to Liénard Quadratic Equation.
WSEAS Transactions on Mathematics. 2023;22:285-291. 10.37394/23206.2023.22.34
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 22, 2023
On the Period-Amplitude Relation by Reduction to Liénard Quadratic Equation
Authors: ,
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.
Pages: 285-291 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 22, 2023, Art. #34 DOI: 10.37394/23206.2023.22.34
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