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Yue X. ,et al. (2005)The Identification of Center and Focus for a Class of Poincaré Equation Advances in Mathematics 34, 101-105.

has been cited by the following article:

• TITLE: The Qualitative Analysis for a Class Nonlinear Systems with High Degree

  AUTHORS: Songlin Chen, Yajie Du

  KEYWORDS: Focus, Center, Focus Quantities, Polynomial System

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.6 No.5, May 22, 2018

  ABSTRACT: In the paper, the problems of identification of focus or center for a class of nonlinear systems are studied. As results, the identifying rule for the type of singular point of the system and the calculating formula for the focus value are obtained by the classical theory of Poincare and Lyapunov. At the end, the numerical simulation for a polynomial system of seven-degree are showed to corroborate the theoretical results of the method.