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Academic Journal of Mathematical Sciences, 2022, 3(1); doi: 10.25236/AJMS.2022.030105.

Center-focus identification of quasi-homogeneous polynomial planar rigid system

Author(s)

Huixin Tan

Corresponding Author:
Huixin Tan
Affiliation(s)

College of Mathematics and Physics, Chengdu University of Technology, Chengdu, 610059, Sichuan, P. R. China

Abstract

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.

Keywords

quasi-homogeneous polynomial, planar rigid system, center-focus identification, symmetry principle

Cite This Paper

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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