ISJ Theoretical & Applied Science

 

 

Information about the scientific journal

Submit an article to the journal

Requirements to the article

Section

Indexing

Journal archive

Tracing of postal items

Cooperation

Editorial Board

 

 

www.T-Science.org       p-ISSN 2308-4944 (print)       e-ISSN 2409-0085 (online)
SOI: 1.1/TAS         DOI: 10.15863/TAS

Journal Archive

ISJ Theoretical & Applied Science 03(95) 2021

Philadelphia, USA

* Scientific Article * Impact Factor 6.630


Abiev, N. A., & Turar, Z.

Implementation in maple the seqular terms elimination method for nonlinear oscillations.

Full Article: PDF

Scientific Object Identifier: http://s-o-i.org/1.1/TAS-03-95-37

DOI: https://dx.doi.org/10.15863/TAS.2021.03.95.37

Language: Russian

Citation: Abiev, N. A., & Turar, Z. (2021). Implementation in maple the seqular terms elimination method for nonlinear oscillations. ISJ Theoretical & Applied Science, 03 (95), 212-222. Soi: http://s-o-i.org/1.1/TAS-03-95-37 Doi: https://dx.doi.org/10.15863/TAS.2021.03.95.37

Pages: 212-222

Published: 30.03.2021

Abstract: In the paper we consider questions concerning computer interpretation of known results in the asymptotic theory of nonlinear differential equations admitting periodic solutions. The main subject of our consideration is Duffing equation describing regularly perturbed nonlinear oscillations. In the paper we suggest a computer program, which perform asymptotic expansions of Duffing equation's solution by degrees of small parameter. For seqular terms of such expansions a computer implementation of well known elimination approach is shown. Series of numerical computations are conducted and results are depicted in graphs.

Key words: nonlinear oscillations, perturbation method, small parameter, seqular term, Lindstedt-Poincare method.


 

 

 

 

 

 

E-mail:         T-Science@mail.ru

© «Theoretical &Applied Science»                      2013 г.