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

Q3 Mathematics

WSEAS Transactions on Mathematics Pub Date : 2023-05-08 DOI:10.37394/23206.2023.22.34

S. Atslega, F. Sadyrbaev

引用次数: 0

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.

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关于周期-振幅关系的lisamadard二次方程化简

我们将Sabatini变换应用于研究一类依赖于二次项的非线性振荡器。结果，初始方程被简化为牛顿形式，对于牛顿形式，可以以标准的方式建立周期-振幅关系。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

WSEAS Transactions on Mathematics Mathematics-Discrete Mathematics and Combinatorics

CiteScore

1.30

自引率

0.00%

发文量

期刊介绍： WSEAS Transactions on Mathematics publishes original research papers relating to applied and theoretical mathematics. We aim to bring important work to a wide international audience and therefore only publish papers of exceptional scientific value that advance our understanding of these particular areas. The research presented must transcend the limits of case studies, while both experimental and theoretical studies are accepted. It is a multi-disciplinary journal and therefore its content mirrors the diverse interests and approaches of scholars involved with linear algebra, numerical analysis, differential equations, statistics and related areas. We also welcome scholarly contributions from officials with government agencies, international agencies, and non-governmental organizations.