Analytic determination of limit cycle for a class of third-order non-linear system

1974 ◽  
Vol 19 (6) ◽  
pp. 1143-1154 ◽  
Author(s):  
YIH TSONG TSAY
Keyword(s):  
Linear System ◽  
Limit Cycle ◽  
Third Order ◽  
Analytic Determination ◽  
Non Linear ◽  
Non Linear System

scholarly journals A STUDY ABOUT STABILITY OF TWO AND THREE SPECIES POPULATION MODELS

2020 ◽  
pp. 4-12
Author(s):  
REZAUL KARIM ◽  
MOHAMMAD ASIF AREFIN ◽  
AMINA TAHSIN ◽  
MD. ABDUS SATTAR
Keyword(s):  
Differential Equation ◽  
Linear System ◽  
Third Order ◽  
Characteristic Roots ◽  
Non Linear ◽  
Species Population ◽  
Non Linear Systems ◽  
The Stability ◽  
Non Linear System ◽  
Homogeneous Linear

In this article, we have discussed the stability of second order linear and non-linear systems by characteristic roots. In the case of non-linear system, we linearize the nonlinear system under certain specified conditions and study the stability of critical points of the linearized systems. Necessary theories have been presented, applied, and illustrated with examples. A self-contained theory for a homogeneous linear system of third order is built by using the basic concept of the differential equation.

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