Center and pseudo-isochronous conditions in a quasi analytic system
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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.
MSC
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