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

Svetlana Atslēga; Felix Sadyrbaev

doi:10.37394/23206.2023.22.34

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

Svetlana Atslēga
, Felix Sadyrbaev

University of Latvia

Latvia University of Life Sciences and Technologies
University of Latvia

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	285-291
Journal	WSEAS Transactions on Mathematics
Volume	22
DOIs	https://doi.org/10.37394/23206.2023.22.34
Publication status	Published - 2023

OECD Field of Science

1.1 Mathematics

Keywords

Differential equations
Oscillation
Period-Amplitude relation

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10.37394/23206.2023.22.34

Cite this

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title = "On the Period-Amplitude Relation by Reduction to Li{\'e}nard Quadratic Equation",

abstract = "We apply Sabatini{\textquoteright}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.",

keywords = "Differential equations, Oscillation, Period-Amplitude relation",

author = "Svetlana Atslēga and Felix Sadyrbaev",

year = "2023",

doi = "10.37394/23206.2023.22.34",

language = "English",

volume = "22",

pages = "285--291",

journal = "WSEAS Transactions on Mathematics",

issn = "1109-2769",

publisher = "World Scientific and Engineering Academy and Society",

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T1 - On the Period-Amplitude Relation by Reduction to Liénard Quadratic Equation

AU - Atslēga, Svetlana

AU - Sadyrbaev, Felix

PY - 2023

Y1 - 2023

N2 - 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.

AB - 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.

KW - Differential equations

KW - Oscillation

KW - Period-Amplitude relation

UR - https://wseas.com/journals/mathematics/2023/a685106-013(2023).pdf

UR - https://www.scopus.com/pages/publications/85162843370

U2 - 10.37394/23206.2023.22.34

DO - 10.37394/23206.2023.22.34

M3 - Article

SN - 1109-2769

VL - 22

SP - 285

EP - 291

JO - WSEAS Transactions on Mathematics

JF - WSEAS Transactions on Mathematics

ER -

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

Abstract

OECD Field of Science

Keywords

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