# Center and pseudo-isochronous conditions in a quasi analytic system

Volume 9, Issue 1, pp 102--111
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### Authors

Zheng Qingyu - School of Science, Linyi University, Linyi 276000, Shandong, China. Li Hongwei - School of Science, Linyi University, Linyi 276000, Shandong, China.

### Abstract

The center conditions and pseudo-isochronous center conditions at origin or infinity in a class of non-analytic polynomial differential system are classified in this paper. By proper transforms, the quasi analytic system can be changed into an analytic system, and then the first 77 singular values and periodic constants are computed by Mathematics. Finally, we investigate the center conditions and pseudo-isochronous center conditions at infinity for the system. Especially, this system was investigated when $\lambda = 1$ in [Y. Wu, W. Huang, H. Dai, Qual. Theory Dyn. Syst., 10 (2011), 123{138].

### Share and Cite

##### ISRP Style

Zheng Qingyu, Li Hongwei, Center and pseudo-isochronous conditions in a quasi analytic system, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 1, 102--111

##### AMA Style

Qingyu Zheng, Hongwei Li, Center and pseudo-isochronous conditions in a quasi analytic system. J. Nonlinear Sci. Appl. (2016); 9(1):102--111

##### Chicago/Turabian Style

Qingyu, Zheng, Hongwei, Li. "Center and pseudo-isochronous conditions in a quasi analytic system." Journal of Nonlinear Sciences and Applications, 9, no. 1 (2016): 102--111

### Keywords

• Infinity
• quasi analytic
• center
• pseudo-isochronicity.

•  34C05
•  34C07

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