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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| Main Author: | |
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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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| Summary: | 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. |
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| ISSN: | 1085-3375 1687-0409 |