A New Method for Research on the Center-Focus Problem of Differential Systems
We will introduce Mironenko’s method to discuss the Poincaré center-focus problem, and compare the methods of Lyapunov and Mironenko. We apply the Mironenko method to discuss the qualitative behavior of solutions of some planar polynomial differential systems and derive the sufficient conditions for...
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/926538 |
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| _version_ | 1832561231605530624 |
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| author | Zhengxin Zhou |
| author_facet | Zhengxin Zhou |
| author_sort | Zhengxin Zhou |
| collection | DOAJ |
| description | We will introduce Mironenko’s method to
discuss the Poincaré center-focus problem, and compare
the methods of Lyapunov and Mironenko. We apply the Mironenko
method to discuss the qualitative behavior of solutions of some
planar polynomial differential systems and derive the sufficient
conditions for a critical point to be a center. |
| format | Article |
| id | doaj-art-919dc0c1a2a9445f8318d7ea6a4d0249 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-919dc0c1a2a9445f8318d7ea6a4d02492025-02-03T01:25:36ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/926538926538A New Method for Research on the Center-Focus Problem of Differential SystemsZhengxin Zhou0School of Mathematical Sciences, Yangzhou University, Yangzhou 225002, ChinaWe will introduce Mironenko’s method to discuss the Poincaré center-focus problem, and compare the methods of Lyapunov and Mironenko. We apply the Mironenko method to discuss the qualitative behavior of solutions of some planar polynomial differential systems and derive the sufficient conditions for a critical point to be a center.http://dx.doi.org/10.1155/2014/926538 |
| spellingShingle | Zhengxin Zhou A New Method for Research on the Center-Focus Problem of Differential Systems Abstract and Applied Analysis |
| title | A New Method for Research on the Center-Focus Problem of Differential Systems |
| title_full | A New Method for Research on the Center-Focus Problem of Differential Systems |
| title_fullStr | A New Method for Research on the Center-Focus Problem of Differential Systems |
| title_full_unstemmed | A New Method for Research on the Center-Focus Problem of Differential Systems |
| title_short | A New Method for Research on the Center-Focus Problem of Differential Systems |
| title_sort | new method for research on the center focus problem of differential systems |
| url | http://dx.doi.org/10.1155/2014/926538 |
| work_keys_str_mv | AT zhengxinzhou anewmethodforresearchonthecenterfocusproblemofdifferentialsystems AT zhengxinzhou newmethodforresearchonthecenterfocusproblemofdifferentialsystems |