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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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/320406 |
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| _version_ | 1832554202600046592 |
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| author | Guang Chen Yuhai Wu |
| author_facet | Guang Chen Yuhai Wu |
| author_sort | Guang Chen |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-1845e3ecee954fdfac0169216cc215d9 |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-1845e3ecee954fdfac0169216cc215d92025-02-03T05:52:04ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/320406320406On the Shape of Limit Cycles That Bifurcate from Isochronous CenterGuang Chen0Yuhai Wu1Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu 212013, ChinaFaculty of Science, Jiangsu University, Zhenjiang, Jiangsu 212013, ChinaNew 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.http://dx.doi.org/10.1155/2014/320406 |
| spellingShingle | Guang Chen Yuhai Wu On the Shape of Limit Cycles That Bifurcate from Isochronous Center The Scientific World Journal |
| 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 |
| url | http://dx.doi.org/10.1155/2014/320406 |
| work_keys_str_mv | AT guangchen ontheshapeoflimitcyclesthatbifurcatefromisochronouscenter AT yuhaiwu ontheshapeoflimitcyclesthatbifurcatefromisochronouscenter |