The Problem of Bicenter and Isochronicity for a Class of Quasi Symmetric Planar Systems
We study a class of quasi symmetric seventh degree systems and obtain the conditions that its two singular points can be two centers at the same step by careful computing and strict proof. In addition, the condition of an isochronous center is also given. In terms of quasi symmetric systems, our wor...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/482450 |
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| _version_ | 1849692737690927104 |
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| author | Du Chaoxiong |
| author_facet | Du Chaoxiong |
| author_sort | Du Chaoxiong |
| collection | DOAJ |
| description | We study a class of quasi symmetric
seventh degree systems and obtain the conditions that its two
singular points can be two centers at the same step by careful computing and
strict proof. In addition, the condition of an isochronous center is also given. In terms of quasi symmetric systems, our work is interesting
and obtained conclusions about bicenters are new. |
| format | Article |
| id | doaj-art-925368ccef6f445daa0bf53ecb92849f |
| institution | DOAJ |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-925368ccef6f445daa0bf53ecb92849f2025-08-20T03:20:37ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/482450482450The Problem of Bicenter and Isochronicity for a Class of Quasi Symmetric Planar SystemsDu Chaoxiong0Department of Mathematics, Hunan Shaoyang University, Shaoyang, Hunan 422000, ChinaWe study a class of quasi symmetric seventh degree systems and obtain the conditions that its two singular points can be two centers at the same step by careful computing and strict proof. In addition, the condition of an isochronous center is also given. In terms of quasi symmetric systems, our work is interesting and obtained conclusions about bicenters are new.http://dx.doi.org/10.1155/2014/482450 |
| spellingShingle | Du Chaoxiong The Problem of Bicenter and Isochronicity for a Class of Quasi Symmetric Planar Systems Abstract and Applied Analysis |
| title | The Problem of Bicenter and Isochronicity for a Class of Quasi Symmetric Planar Systems |
| title_full | The Problem of Bicenter and Isochronicity for a Class of Quasi Symmetric Planar Systems |
| title_fullStr | The Problem of Bicenter and Isochronicity for a Class of Quasi Symmetric Planar Systems |
| title_full_unstemmed | The Problem of Bicenter and Isochronicity for a Class of Quasi Symmetric Planar Systems |
| title_short | The Problem of Bicenter and Isochronicity for a Class of Quasi Symmetric Planar Systems |
| title_sort | problem of bicenter and isochronicity for a class of quasi symmetric planar systems |
| url | http://dx.doi.org/10.1155/2014/482450 |
| work_keys_str_mv | AT duchaoxiong theproblemofbicenterandisochronicityforaclassofquasisymmetricplanarsystems AT duchaoxiong problemofbicenterandisochronicityforaclassofquasisymmetricplanarsystems |