Normal Forms of Planar Polynomial Differential Systems

2018 ◽  
Vol 18 (1) ◽  
pp. 11-33
Author(s):  
Abderrahmane Turqui ◽  
Dahira Dali
Keyword(s):  
Normal Forms ◽  
Differential Systems ◽  
Polynomial Differential Systems ◽  
Planar Polynomial Differential Systems

scholarly journals A New Method for Research on the Center-Focus Problem of Differential Systems

2014 ◽  
Vol 2014 ◽  
pp. 1-5
Author(s):  
Zhengxin Zhou
Keyword(s):  
Critical Point ◽  
Sufficient Conditions ◽  
New Method ◽  
Qualitative Behavior ◽  
Differential Systems ◽  
Polynomial Differential Systems ◽  
Planar Polynomial Differential Systems

We will introduce Mironenko’s method to discuss the Poincaré center-focus problem, and compare the methods of Lyapunov and Mironenko. We apply the Mironenko method to discuss the qualitative behavior of solutions of some planar polynomial differential systems and derive the sufficient conditions for a critical point to be a center.

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