Center and pseudo-isochronous conditions in a quasi analytic system

Qingyu, Zheng¹ ; Hongwei, Li¹

¹ School of Science, Linyi University, Linyi 276000, Shandong, China

Journal of nonlinear sciences and its applications, Tome 9 (2016) no. 1, p. 102-111.

Résumé

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].

Détail

DOI : 10.22436/jnsa.009.01.10

Classification : 34C05, 34C07
Keywords: Infinity, quasi analytic, center, pseudo-isochronicity.

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