Keywords : Routh-Hurwitz


New Study of Stability for New Lorenz-like System

Ahmmed Jumaa; Alaa Hammodat

AL-Rafidain Journal of Computer Sciences and Mathematics, 2012, Volume 9, Issue 1, Pages 155-161
DOI: 10.33899/csmj.2012.163679

In this paper, we  studied differential system like of three dimensional Lorenz system. Nonlinear characteristic and basic dynamic properties of three dimensional autonomous system are studied by means of nonlinear dynamics theory, including the stability and we found that the value  is effected by the form of the roots.
 

Using Δ - Discriminate Method to Determine the Stability and Bifurcation of Chen Chaotic System

Saad Fawzi AL-Azzawi; Karam A. Abed

AL-Rafidain Journal of Computer Sciences and Mathematics, 2011, Volume 8, Issue 2, Pages 111-122
DOI: 10.33899/csmj.2011.163646

The aim of this paper to found that the stability and bifurcation of Chen System by using a new method which called - discriminate method as will as we found the stability at the second critical point by another method, and we showed that the new method depended on the roots to determent  the stability and bifurcation of this system while the previous methods depended on the parameters , also we showed the method which used to find the stability at the second critical point depended on the critical value  and parameter . Finally, we get the same previous results but easily method.
 
 

Stability Analysis of Unified Chaotic System

Saad Fawzi AL-Azzawi

AL-Rafidain Journal of Computer Sciences and Mathematics, 2009, Volume 6, Issue 3, Pages 161-171
DOI: 10.33899/csmj.2009.163830

The aim of this paper is to find the stability of unified chaotic system through studying different systems. The unified chaotic system is divided into three systems by depending on the values of   , when    , the unified chaotic system becomes Lorenz system; when; it becomes L system, when    ; the unified chaotic system becomes Chen system. Investigations the stability analysis of these systems leads to the stability of the unified chaotic system.