scholarly journals The algebraic curves of planar polynomial differential systems with homogeneous nonlinearities

2021 ◽  
pp. 1-12
Author(s):  
Vladimir Cheresiz ◽  
Evgenii Volokitin
Keyword(s):  
Algebraic Curves ◽  
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.

On Lie's symmetries for planar polynomial differential systems

Nonlinearity ◽  
2001 ◽  
Vol 14 (4) ◽  
pp. 863-880 ◽  
Author(s):  
J Chavarriga ◽  
I A García ◽  
J Giné
Keyword(s):  
Differential Systems ◽  
Polynomial Differential Systems ◽  
Planar Polynomial Differential Systems
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