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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Bibliographic Details
Published inTheScientificWorld Vol. 2014; no. 2014; pp. 1 - 7
Main Authors Chen, Guang, Wu, Yuhai
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Publishing Corporation 01.01.2014
John Wiley & Sons, Inc
Wiley
Subjects
Algorithms
Bifurcation theory
Calculus
Chaos theory
Fishery economics
Harvest
Limit theorems (Probability theory)
Mathematical research
Models, Theoretical
Renewable resources
Online AccessGet full text
ISSN2356-6140
1537-744X
1537-744X
DOI10.1155/2014/320406

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Summary: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.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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Academic Editors: M. Han, Z. Jin, and Y. Xia
ISSN:2356-6140
1537-744X
1537-744X
DOI:10.1155/2014/320406