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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 λ = 1 in [Y. Wu, W. Huang, H. Dai, Qual. Theory Dyn. Syst., 10 (2011), 123–138]. c ©2016 All rights reserved.

Center and pseudo-isochronous conditions in a quasi analytic system