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.