College of Mathematics and Physics, Chengdu University of Technology, Chengdu, 610059, Sichuan, P. R. China
For each quasi-homogeneous polynomial planar rigid system with weight (2,1), we prove that the origin is a center equilibrium when the degree is odd, and we obtain necessary and sufficient condition for the origin to be a center when the degree is even.
quasi-homogeneous polynomial, planar rigid system, center-focus identification, symmetry principle
Huixin Tan. Center-focus identification of quasi-homogeneous polynomial planar rigid system. Academic Journal of Mathematical Sciences (2022) Vol. 3, Issue 1: 30-34. https://doi.org/10.25236/AJMS.2022.030105.
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