Computing center conditions for resonant infinity via integrating factor method

Volume 9, Issue 1, pp 287--294 http://dx.doi.org/10.22436/jnsa.009.01.27

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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.

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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

34C05
34C20
34M35

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