Limit Cycles and Isochronous Centers in a Class of Ninth Degree System
A class of ninth degree system is studied and the conditions ensuring that its five singular points can be centers and isochronous centers (or linearizable centers) at the same time by exact calculation and strict proof are obtained. What is more, the expressions of Lyapunov constants and periodic c...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/762751 |
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doaj-602cd9dbdd32460c9818d0be69e2cb532020-11-25T00:33:00ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/762751762751Limit Cycles and Isochronous Centers in a Class of Ninth Degree SystemLi Hongwei0Li Feng1Du Chaoxiong2School of Science, Linyi University, Linyi, Shandong 276005, ChinaSchool of Science, Linyi University, Linyi, Shandong 276005, ChinaSchool of Science, Shaoyang University, Shaoyang, Hunan 422000, ChinaA class of ninth degree system is studied and the conditions ensuring that its five singular points can be centers and isochronous centers (or linearizable centers) at the same time by exact calculation and strict proof are obtained. What is more, the expressions of Lyapunov constants and periodic constants are simplified, and 21 limit circles could be bifurcated at least.http://dx.doi.org/10.1155/2013/762751 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Li Hongwei Li Feng Du Chaoxiong |
| spellingShingle |
Li Hongwei Li Feng Du Chaoxiong Limit Cycles and Isochronous Centers in a Class of Ninth Degree System Abstract and Applied Analysis |
| author_facet |
Li Hongwei Li Feng Du Chaoxiong |
| author_sort |
Li Hongwei |
| title |
Limit Cycles and Isochronous Centers in a Class of Ninth Degree System |
| title_short |
Limit Cycles and Isochronous Centers in a Class of Ninth Degree System |
| title_full |
Limit Cycles and Isochronous Centers in a Class of Ninth Degree System |
| title_fullStr |
Limit Cycles and Isochronous Centers in a Class of Ninth Degree System |
| title_full_unstemmed |
Limit Cycles and Isochronous Centers in a Class of Ninth Degree System |
| title_sort |
limit cycles and isochronous centers in a class of ninth degree system |
| publisher |
Hindawi Limited |
| series |
Abstract and Applied Analysis |
| issn |
1085-3375 1687-0409 |
| publishDate |
2013-01-01 |
| description |
A class of ninth degree system is studied and the conditions ensuring that its five singular points can be centers and isochronous centers (or linearizable centers) at the same time by exact calculation and strict proof are obtained. What is more, the expressions of Lyapunov constants and periodic constants are simplified, and 21 limit circles could be bifurcated at least. |
| url |
http://dx.doi.org/10.1155/2013/762751 |
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AT lihongwei limitcyclesandisochronouscentersinaclassofninthdegreesystem AT lifeng limitcyclesandisochronouscentersinaclassofninthdegreesystem AT duchaoxiong limitcyclesandisochronouscentersinaclassofninthdegreesystem |
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