Center conditions and limit cycles in a cubic system of differential equations

2000 ◽  
Vol 36 (1) ◽  
pp. 113-119
Author(s):  
A. P. Sadovskii
Keyword(s):  
Differential Equations ◽  
Limit Cycles ◽  
System Of Differential Equations ◽  
Cubic System ◽  
Center Conditions

scholarly journals On acyclicity of quadratic system with two non-rough foci

2021 ◽  
pp. 41-46
Author(s):  
Адам Дамирович Ушхо
Keyword(s):  
Differential Equations ◽  
Limit Cycles ◽  
Phase Plane ◽  
Second Order ◽  
Quadratic System ◽  
Equilibrium States ◽  
System Of Differential Equations ◽  
Right Hand ◽  
The Right

Доказывается, что система дифференциальных уравнений, правые части которой представляют собой полиномы второй степени, не имеет предельных циклов, если в ограниченной части фазовой плоскости она имеет только два состояния равновесия и при этом они являются состояниями равновесия второй группы. It is proved that a system of differential equations, the right-hand sides of which are second-order polynomials, has no limit cycles if it has only two equilibrium states in the bounded part of the phase plane, and they are the equilibrium states of the second group.

First Integrals of a Cubic System of Differential Equations

2008 ◽  
Author(s):  
Zhibek Kadyrsizova ◽  
Valery G. Romanovski ◽  
Marko Robnik ◽  
Valery Romanovski
Keyword(s):  
Differential Equations ◽  
First Integrals ◽  
System Of Differential Equations ◽  
Cubic System
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