Computing center conditions for resonant infinity via integrating factor method
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Authors
Yusen Wu
- School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang 471023, Henan, P. R. China.
Feng Li
- School of Science, Linyi University, Linyi 276005, Shandong, P. R. China.
Abstract
In this literature, the calculation of generalized center conditions is addressed for resonant infinity of a
polynomial vector field in \(\mathbb{C}^2\). The technique is taking resonant infinity into elementary resonant origin by
a homeomorphism. Afterwards, an algorithm to compute generalized singular point quantities is developed,
which is a good approach to find the necessary conditions of generalized center for any rational resonance
ratio. Finally, the necessary and sufficient conditions of generalized center for resonant infinity are obtained.
Share and Cite
ISRP Style
Yusen Wu, Feng Li, Computing center conditions for resonant infinity via integrating factor method, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 1, 287--294
AMA Style
Wu Yusen, Li Feng, Computing center conditions for resonant infinity via integrating factor method. J. Nonlinear Sci. Appl. (2016); 9(1):287--294
Chicago/Turabian Style
Wu, Yusen, Li, Feng. "Computing center conditions for resonant infinity via integrating factor method." Journal of Nonlinear Sciences and Applications, 9, no. 1 (2016): 287--294
Keywords
- Generalized complex center
- resonant infinity
- integrating factor method.
MSC
References
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