On the Shape of Limit Cycles That Bifurcate from Isochronous Center

New idea and algorithm are proposed to compute asymptotic expression of limit cycles bifurcated from the isochronous center. Compared with known inverse integrating factor method, new algorithm to analytically computing shape of limit cycle proposed in this paper is simple and easy to apply. The app...

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Detalles Bibliográficos
Autores principales: Chen, Guang, Wu, Yuhai
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3977465/
https://www.ncbi.nlm.nih.gov/pubmed/24772016
http://dx.doi.org/10.1155/2014/320406
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author Chen, Guang
Wu, Yuhai
author_facet Chen, Guang
Wu, Yuhai
author_sort Chen, Guang
collection PubMed
description New idea and algorithm are proposed to compute asymptotic expression of limit cycles bifurcated from the isochronous center. Compared with known inverse integrating factor method, new algorithm to analytically computing shape of limit cycle proposed in this paper is simple and easy to apply. The applications of new algorithm to some examples are also given.
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spelling pubmed-39774652014-04-27 On the Shape of Limit Cycles That Bifurcate from Isochronous Center Chen, Guang Wu, Yuhai ScientificWorldJournal Research Article New idea and algorithm are proposed to compute asymptotic expression of limit cycles bifurcated from the isochronous center. Compared with known inverse integrating factor method, new algorithm to analytically computing shape of limit cycle proposed in this paper is simple and easy to apply. The applications of new algorithm to some examples are also given. Hindawi Publishing Corporation 2014-03-19 /pmc/articles/PMC3977465/ /pubmed/24772016 http://dx.doi.org/10.1155/2014/320406 Text en Copyright © 2014 G. Chen and Y. Wu. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Chen, Guang
Wu, Yuhai
On the Shape of Limit Cycles That Bifurcate from Isochronous Center
title On the Shape of Limit Cycles That Bifurcate from Isochronous Center
title_full On the Shape of Limit Cycles That Bifurcate from Isochronous Center
title_fullStr On the Shape of Limit Cycles That Bifurcate from Isochronous Center
title_full_unstemmed On the Shape of Limit Cycles That Bifurcate from Isochronous Center
title_short On the Shape of Limit Cycles That Bifurcate from Isochronous Center
title_sort on the shape of limit cycles that bifurcate from isochronous center
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3977465/
https://www.ncbi.nlm.nih.gov/pubmed/24772016
http://dx.doi.org/10.1155/2014/320406
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